CAMERON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
LAWTON, OKLAHOMA 73505-6377, USA
CURRICULUM VITAE
IOANNIS KONSTANTINOS ARGYROS
1. PERSONAL
NAME: Ioannis K. Argyros
PLACE OF BIRTH: Athens, Greece, February 20, 1956
ADDRESS: Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USA
E-MAIL: iargyros@cameron.edu
WEB PAGE: http://www.cameron.edu/~ioannisa
LIST OF MR AND CMP ITEMS:
List of papers authored by Argyros, Ioannis, K.: http://www.ams.org/mrlookup
FAX: (580) 581-2616
TELEPHONE(S): (580) 581-2908 (office) or (580) 581-2481 (office of secretary)
(580) 536-8754 (Home)
MARITAL STATUS: Married; three children.
2. STUDIES
(1) 1983-1984 Ph.D. in Mathematics, University of Georgia, Athens, Georgia
(2) 1982-1983 M.Sc. in Mathematics, University of Georgia, Athens, Georgia
(3) 1974-1979 B.Sc. in Mathematics, University of Athens, Greece
3. ACADEMIC EXPERIENCE
(1) 1994-Present Full Professor, Cameron University, USA
(2) 1993-1994 Tenured Associate Professor, Cameron University, USA
(3) 1990-1993 Associate Professor, Cameron University, USA
(4) 1986-1990 Assistant Professor, New Mexico State University, USA
(5) 1984-1986 Visiting Assistant Professor, University of Iowa, USA
(6) 1982-1984 Teaching-Research Assistant, University of Georgia, USA
(7) 1979-1982 Serving the Greek Army, Greece
4. SCIENTIFIC ACTIVITY
(A) Fields of Interest/Research Has Been Conducted in:
(1) Mathematical Analysis: (a) Functional analysis, (b) Operator theory. Worked on existence, uniqueness and solvability of Polynomial operator equations on a Banach space, (c) Multilinear operator theory, (d) Fixed point theory, (e) Numerical functional analysis, (f) Numerical analysis, (g) Applied analysis, (h)wavelets.
(2) Applied Mathematics/Analysis: Numerical solution of ordinary-partial differential-integral-functional equations on parallel computers; numerical methods; acceleration of convergence; numerical simulation; numerical approximation; interval arithmetic; numerical algebraic or transcendental equations; mathematical programming; optimization and variational techniques; computer arithmetic and numerical analysis; computer aspects of numerical algorithms; computer networks; discrete mathematics in relation to computer science; theory of data; applications in mechanics, physics, chemistry, biology, technology, and economics.
(3) Management Science
(4) Wavelet and Neural Networks
(5) Mathematical Economics (oligopoly theory, theory of games).
(6) Mathematical Physics (elasticity, kinetic theory of gasses, astrophysics, mechanics)
The American Mathematical Society subject classification codes for the above interests are: 12, 15, 26, 28, 34, 35, 39, 40, 45, 46, 47, 49, 65, 68, 85, 90.
Most problems in applied sciences can be brought in the form
F(x) = 0,
where F is an operator on some appropriate space. For example the above equation may be a linear or a nonlinear system of equations on the nth dimensional Euclidean space.
I derived such a system when I solved:
(a) a case of the Chandrasekhar's integral equation (Nobel Prize of Physics, 1983). This equation solves the problem of determination of the angular distribution of the radiant flux emerging from a plane radiation field;
(b) a problem from nonlinear elasticity theory, which pertains to the buckling of a thin shallow spherical shell clamped at the edge and under uniform external pressure;
(c) the problem of existence and uniqueness of equilibrium in oligopoly markets. Oligopoly is the state of industry where firms produce homogeneous goods (or close substitutes) and sell their products in a homogeneous market;
(d) problems coordinating traffic at airports and highways;
(e) problems involving the construction of safe bridges or buildings;
(f) problems involving the location of moving objects like: missiles, airplanes, satellites, spaceships;
(g) models describing the rate with which certain diseases (e.g. cancer) or infections spread on humans or animals;
(h) models describing population growth or decay (e.g. bacteria on human skin or human population growth or decay). These models help us predict supplies needed for the preservation of human species;
(i) models describing the behavior of economic markets (e.g. Wall Street Stock Market).
Note that the above is a very incomplete list of physical phenomena that can be brought in the form of the above equation. I just listed the areas where I have contributed with my research manuscripts, books and lectures.
Solutions of the above equation can be approximated by carefully designed numerical algorithms called Newton-like methods with the assistance of computers. Such numerical methods have been described in my published peer-reviewed manuscripts and books and lectures in computational mathematics.
(B) Editing
1. I am the founder and Editor-in-Chief of the Southwest Journal of Pure and Applied Mathematics. This is a peer-reviewed purely electronic journal established in 1995 at Cameron University (1995-2004). ISSN 1083-0464. Web Page: http://rattler.cameron.edu/swjpam/swjpam.html
Serving at the editorial board:
2. Journal of Applied Mathematics and Computing (1997-present). ISSN 1229-9502
3. Advances in Nonlinear Variational Inequalities (ANVI) (International Publications USA) (1999-present). ISSN 1092-910X
4. Computational Analysis and Applications (Plenum Publ.) (1998-2000). ISSN 1521-1398
5. International Journal of Computational and Numerical Analysis and Applications, ISSN 1311-6789 (2000-present), (IJCNAA).
6. International Journal of Pure and Applied Mathematics, ISSN 1311-8080, (2001-present), (IJPAM).
7. Mathematical Sciences Research Journal (2002-present), ISSN 1537-5978.
8. International Review of Pure and Applied Mathematics, (2004-present) Serial Publications
9. International Journal of Applied Mathematical Sciences (2004-present) Global Publications, ISSN 09730176
10. Journal of Applied Functional Analysis (2003-2005), Nova Science Corp.
11.International Journal of Theoretical and Applied Mathematics (2005-Present),Serials Publications
12.Communications on Applied Nonlinear Analysis,(2006-Present),International Publications
13.Advances in Nonlinear Analysis and Applications(ANAA),(2006-Present),Serial Publications
14.Mathematics Applied in Science and Technology,(MAST),(2006-Present),
http://www.ripublication.com/mast.htm
15.Antarctica Journal of Mathematics(2006-Present),
http://www.angelfire.com/0k3/prof/journa.html
16.Polimetrica,Polimetrica Publisher,Corso Milano,Italy (2006-Present),Web Page:
17. Punjab University Journal of Mathematics (2006-Present).
18.Mathematical Reviews of the American Mathematical Society (August 2006-Present).
19. Journal of the Korean Society of Mathematics Education Series B. Pure and Applied Mathematics
(Associate Editor January 2007-Present).ISSN 1226-0657.
20.Arabian Journal of Mathematics and mathematical Sciences (AJMMS)(November 2006-Present).
21. East Asian Journal of Mathematics,(Summer 2007-Present)
(C) Book and Grant Reviewer
1. Elementary Numerical Analysis by Kendall Atkinson, University of Iowa, published in 1992 by John Wiley & Sons.
2. Moduli of Continuity and Global Smoothness Preservation in Approximation Theory. Reviewed for Springer-Verlag Publishers, World Scientific Publishing Company, Elsevier Sciences B.V., Birkhauser, and CRC Press, 1998.
3. A Handbook on Analytic-Computational Methods and Applications. Reviewed for Plenum Publ. Corp., World Scientific Publishing Company, 1999.
4. Proklu's Comments on the First Book of Euclid. Vol. 2, ISBN 960-8333-008, 2002, Evangelos Spandagos. I wrote the Introduction in English, AITHRA Publ., Athens, Greece.
5. College Algebra, 4th Edition, 2003 by Aufmann, Barker, Nation published by Houghton Mifflin.
6. On behalf of the U.S. Civilian Research and Development Foundation (CRDF) located in Washington D.C. Grant Proposal #12476 entitled: Optimal methods for computing singular integrals, solving singular integrals and applications to geophysics and wave scattering of small bodies of arbitrary shapes (2003)(Russian Federation).
7. On behalf of Duxbury Press, CA, USA, the draft of the textbook “Statistical Literacy for Citizen(tentative title)”, by Daniel Schaffer. My report was submitted in November,2004.
8.On behalf of Springer-Verlag(Lecture Series) the textbook entitled:”Iterative Approximation of Fixed Points”by Vasile Berinde.
9.On behalf of U.S. Civilian Research and Development Foundation(CRDF) Grant Proposal #144038,144002,144009,144015.My id # is 17603.Contact:Jennifer MacNair,Staff Assistant Cooperative Grants Program(Serbian Republic).
10.On behalf of U.S. Civilian Research and Development Foundation (CRDF) Grant Proposal #15909,Fall 2006.
11.On behalf of Wiley and Sons Publ.Co.For possible publication: Undergraduate book
Entitled:”Trigonometry” by Cynthia Young.,2007.
12. On behalf of Wiley and Sons, Publ. Co.For possible publication:Undergraduate book,entitled:
“Algebra and Trigonometry by Cynthia Young,2007.
13. On behalf of (CRDF) Grant Proposal #15912,Fall 2007.
14. On behalf of Prentice Hall Publ. Co. For possible publication,Undergraduate book,entitled:
“College Algebra: by Barnett,Ziegler and Byleen, eighth edition, Spring 2007.
(D) Scientific Papers Reviewer
I have reviewed a total of 311 papers for:
1. Journal of Computational and Applied Mathematics
2. P.U.J.M.
3. Mathematica Slovaca
4. Pure Mathematics and Applications (PUMA)
5. Southwest Journal of Pure and Applied Mathematics
6. IMA Journal of Numerical Analysis
7. Journal of Optimization Theory and Its Applications
8. Computer Physics Communications
9. SIAM Journal on Numerical Analysis
10. Computational and Applied Mathematics, CAM 97, 98, 99, Edmond, OK, USA
11. Applied Mathematics Letters
12. Illinois Journal of Mathematics
13. Korean Journal of Computational and Applied Mathematics
14. Proceeding of the Cambridge Mathematical Society
15. Applicable Analysis
16. Journal of Applied Mathematics and Optimization
17. Computers and Mathematics with Applications
18. Computational and Applied Mathematics
19. Computational Analysis and Applications
20. Tamkang Journal of Mathematics
21. Soochow Journal of Mathematics
22. Portugaliae Mathematica
23. Aequationes Mathematicae
24. Advances in Nonlinear Variational Inequalities (ANVI)
25. Journal of Mathematical Analysis and Applications
26. Journal of Complexity
27. SIAM Journal of Scientific Computing
28. International Journal of Mathematics and Mathematical Sciences
29. AMS Mathematics of Computation
30. BIT, Numerical Mathematics
31. Applied Analysis
32. Journal of Applied Mathematics and Computing
33 .Central European Journal of Mathematics
34. Applied Numerical Mathematics
35. Korean Journal of Mathematics in Education
36. Journal of Integral Equations with Applications
37. Bulletin of The Malaysian Mathematical Society
38. Acta Mathematica Sinica
39. Electronic Journal of Differential Equations
40. Studia Mathematica Hungarica
41. Mathematical Reviews of the American Mathematical Society
42. Mathematics of Computation of the American Mathematical Society
43. PUJM
44. International Journal of Computer Mathematics
45. Zhejiang University Journal of Mathematics
46. Physics Letters A.
47. Numerical Algorithms
48. Journal of Inequalities and Applications
49. Proceedings of the American Mathematical Society
50. Journal of Applied Mathematics and Stochastic Analysis
51. Fixed Point Theory and Applications
52. Applicationes Mathematicae
53. European Journal of Operations Research.
54. Nonlinear Analysis.
55. Fuzzy sets and systems
56. American Mathematical Monthly
57. Mathematical Ineqaulities and Applications
(E) Grants Received
1. New Mexico State University Grant, (1986), #1-3-43841, RC #87-01
2. New Mexico State University Grant, (1987), #1-3-4-44770.
3. U.S.A. Army (1988-1990), #DAEA, 26-87-R-0013 (F.M.) Army (jointly with the Mechanical Engineering Department at New Mexico State University). Topic: "Solution of differential equations on parallel computers"
4. Cameron University, Research support, July 1992, June 1998
5. Cameron University, Academic Initiatives Award (#6110), 2004-2005.
6.NSF 2007 EPSCOR INFRASTRUCTURE IMPROVEMENT PROPOSAL Participant (Leading
Investigator Dr. Henry Neeman).
(F) Supervising Graduate Students
The following Ph.D. students have obtained their Ph.D. degree under my supervision:
1. Losta Mansor, Ph.D. dissertation title: Numerical Methods for Solving Perturbation Problems Appearing in Elasticity and Astrophysics, 1989
2. Joan Peeples, Ph.D. dissertation title: Point to Set Mappings and Oligopoly Theory, 1989
Member, Doctoral Examination Committee:
3. Aomar Ibenbrahim, Spring 1987
4. Maragoudakis Christos, Spring 1988
(Dean's Representative for both, Electrical Engineering Department)
5. Bellal Hossain, Fall 1996, University of Calcutta, India
6. Sri Pulak Guhathakurta, Spring 1998, University of Calcutta, India
7. Tariq Iqtadar Khan, Spring 2003, Aligarh University, India
8.Landlay Khan,Fall 2005, Aligarg University,India,Thesis title:Common Fixed Point Theorems for some families of nonself mappings in metrically convex spaces.
9. Nadeem Ahmad, Summer 2007, Ph. D. Thesis external supervisor,Thesis title:Geometric Modelling using subdivision techniques, PUJM, Lahore Pakistan.
Chair, Master's Examination Committee
7. Mitra Ashan, Spring 1987
8. Christopher Stuart, Spring 1988
9. Anis Shahrour, Fall 1988
Member, Master's Examination Committee
10. Juji Hiratsuka, Spring 1987 (Dean's Representative, Art Department)
11. Alice Lynn Bertini, Spring 1988
12. Daniel Patrick Eshner, Summer 1989 (Dean's Representative, Computer Science)
(G) Committee Member for Hiring-Promotion-Tenure
I have served as a committee member for:
(a) Hiring: Cameron University (USA), every year, Punjab University (Pakistan), 2000 and 2002
(b) Promotion-Tenure: Cameron University (USA), Sultan Qaboos University, Sultanate of Oman, Sam Houston State University (USA), Punjab University (Pakistan), 2001
(H) M.Sc. and Ph.D. Dissertations
1. A Contribution to the Theory of Nonlinear Operator Equations in Banach Space, Master of Science Dissertation, University of Georgia, GA, U.S.A., 1983.
2. Quadratic Equations in Banach Spaces, Perturbation Techniques and Applications to Chandrasekhar's and Related Equations, Doctor of Philosophy Dissertation, University of Georgia, GA, U.S.A., 1984.
(I) Books and Monographs Published
1. The Theory and Applications of Iteration Methods, CRC Press, Inc., Systems Engineering Series, Boca Raton, Florida, 1993, Math. Rev. 65b:65001, Zbl. Math. 65J, 65052, (W.C. Rheinboldt (Pittsburgh)), (1992), 844-441, ISBN 0-8493-8014-6. (Textbook)
2. A Unified Approach for Solving Nonlinear Operator Equations and Applications, West University of Timisoara, Department of Mathematics, Mathematical Monographs, 62, Publishing House of the University of Timisoara, Timisoara, 1997, AMS Math. Reviews 99i65060. (Monograph)
3. The Theory and Application of Abstract Polynomial Equations, St. Lucie/CRC/Lewis Publishers, Mathematics Series, Boca Raton, Florida, USA, 1998, ISBN 0-8493-8702-7. Springer-Verlag Publ., New York is publishing this text since 2000 by taking over from CRC. (Textbook), MR 1818212
4. Dictionary of Comprehensive Dictionary of Mathematics: Analysis, Calculus and Differential Equations, (Contributing Author), Editor: Douglas, N. Clark, Chapman-Hall/CRC/Lewis Publishers, Boca Raton, Florida, USA, 1999, ISBN 0-8493-0320-6. (Textbook)
5. Computational Methods for Abstract Polynomial Equations, West University of Timisoara, Department of Mathematics, Mathematical Monographs, 68, Publishing House of the University of Timisoara, Timisoara, 1999. (Monograph), MR 1997218
6. A Survey of Efficient Numerical Methods for Solving Equations and Applications, Kyung Moon Publishers, Seoul, Korea, 2000, ISBN 8972824828. (Textbook)
7. A Unified Approach for Solving Equations, Part I: On Infinite-Dimensional Spaces, Handbook of Analytic Computational Methods in Applied Mathematics, Chapman and Hall/CRC Press, Inc., Boca Raton, Florida, 2000, Chapter 5, pp. 201-254, ISBN 1-58488-135-6. (Monograph)
8. A Unified Approach for Solving Equations, Part II: On Finite-Dimensional Spaces, Handbook on Analytic Computational Methods in Applied Mathematics, Chapman and Hall/CRC Press, Inc., Boca Raton, Florida, 2000, Chapter 6, pp. 255-308, ISBN 1-58488-135-6. (Monograph)
9. Two Contemporary Computational Aspects of Numerical Analysis, Applied Math. Reviews, Volume 1, World Scientific Publishing Corp., River Edge, NJ, 2000, ISBN 981-02-4339-1. (Monograph)
10. Advances in the Efficiency of Computational Methods and Applications, World Scientific Publ. Co., River Edge, NJ, 2000, ISBN 981-02-4336-7. (Textbook)
11. Iterative Methods for Solving Equations Appearing in Engineering and Economics.Kyung Moon Publ., Seoul, Korea, 2001, ISBN 89-7282-512-3. (Textbook)
12. Contemporary Computational Methods in Numerical Analysis, Part I. Methods Involving Frechet-Differentiable Operators of Order One, Mathematical Monographs (Timisoara), 74, West University of Timisoara, Department of Mathematics, Publishing House of the University of Timisoara, Timisoara, Romania,2002 viii+170 pp.,MR 2053593(2005a:65051a),(Monograph).
13. Contemporary Computational Methods in Numerical Analysis, Part II: Methods Involving Frechet-Differentiable Operators of Order m (m > 2), Mathematical Monographs (Timişoara), 75, West University of Timisoara, Department of Mathematics, Publishing House of the University of Timisoara, Timisoara, Romania,2002 pp. i-viii,171-326 pp.MR 2053594(2005a:65051b) (Monograph).
14.Newton Methods, Nova Science Publ.Corp., Hauppauge, New York,USA,2005,ISBN:1-59454-052-7,(Textbook).
15.Approximate Solution of Operator Equations with Applications, World Scientific Publ. Co.,Pte.Ltd.,Hackensack,NJ,2005,USA,
ISBN:981-256-365-2,512 pages(Textbook).
16. Computational Theory of Iterative Methods, Series: Studies in Computational Mathematics 15, Editors, ;C.K.Chui,and L. Wuytack,
Elsevier Publ. Co., New York, USA, 2007,(Textbook), ISBN 978-0-444-53162-9.
Books and Monographs Under Preparation/Accepted
17. Convergence and application of Newton-type iterations (textbook).
(J) RESEARCH ARTICLES
The scientific papers listed below have been published in the following countries and at the top refereed journals in the following countries repeatedly:
America: U.S.A., Brazil, Canada, Chile
Europe: U.K., Sweden, Belgium, Holland, Spain, Germany, Austria, Hungary, Slovakia, Romania, Poland, Yugoslavia, Italy, Chech Republic,Bulgaria
Asia: People's Republic of China, Republic of China, India, Pakistan, Japan, Saudi Arabia, Korea, Singapore, Malaysia
Australia: Australia
A 4% of the scientific papers listed below have been published jointly with Professors Mohammad Tabatabai (Cameron, USA), Dong Chen (University of Arkansas, USA), Ferenc Szidarovszky (University of Arizona, USA), Losta Mansor (Libya), Emil Catinas and Ion Pavaloiu (Romania), Ram Verma (Florida, USA), Jose Gutierrez (Spain), Huang Zhengda (USA, China),Dr. Uko (USA), Dr. Hilout (France, Morocco ).Dr. R. Ren, Dr. S. Chen (P.R. China)
1. Quadratic equations and applications to Chandrasekhar's and related equations, Bull. Austral. Math. Soc., Vol. 32, 2 (1985), 275-292; Not. Amer. Math. Soc., 85T-46-142; Z.F.M.6074063 (1987); Math. Rev. 87d: Gerard Lebourg (Paris).
2. On a contraction theorem and applications, Proc. Amer. Math. Soc., Symposium on Nonlinear Functional Analysis and Applications, Berkeley, CA, U.S.A., 1983, 45, 1 (1986), 51-53; Math. Rev. 87h: 65108, Sh. Singh, Z.F.M.6224077 (1988).
3. Iterations converging to distinct solutions of some nonlinear equations in Banach space, Internat. J. Math.& Math. Sci., Vol. 9, No. 3 (1986), 585--587; Z.F.M.61447044 (1986); Math. Rev. 87j47097, P.P. Zabrejko (Minsk).
4. On the cardinality of solutions of multilinear differential equations and applications, Internat. J. Math.& Math. Sci., Vol. 9, No. 4 (1986), 757-766; Math. Rev. 88e34017, Achmadjon Soleev (Samarkand); Z.F.M.66334008 (89), A. Soleev.
5. Uniqueness-Existence of solutions of polynomial equations in linear space, P.U.J.M., Vol. XIX (1986), 39-57; Z.F.M.62547050 (1988); Math. Rev.88g47116, B.G. Pachpatte (6-Mara).
6. On a theorem for finding "large" solutions of multilinear equations in Banach space, P.U.J.M., Vol. XIX (1986), 29-37; Z.F.M.62547051 (1988); Math.Rev. 88g47115, B.G. Pachpatte (6-Mara).
7. On the approximation of some nonlinear equations, Aequationes Mathematicae, 32 (1987), 87-95; Z.F.M.61447043 (1986); Math. Rev. 88g47124, P.P. Zabrejko (Minsk).
8. An improved condition for solving multilinear equations, P.U.J.M., Vol. XX (1987), 43-46; Math. Rev. 89c47065; Z.F.M.64747015, (1989).
9. On a class of nonlinear equations, Tamkang J. Math., Vol. 18, No. 2 (1987); 19-25; Math. Rev. 89f47091, Ramendra Krishna Bose (1-SUNYF); Z.F.M.65347042, (1989), J. Appel.
10. On polynomial equations in Banach space, perturbations, techniques and applications, Internat. J. Math.& Math. Sci., Vol. 10, No. 1 (1987), 69-78; Math. Rev. 88c47123, Heinrich Steinlein (Munich); Z.F.M.61747038, (1987).
11. A note on quadratic equations in Banach space, P.U.J.M., Vol. XX (1987), 47-50; Math. Rev. 89c47076; Z.F.M.64747016, (1989).
12. Quadratic finite rank operator equations in Banach space, Tamkang J. Math., Vol. 18, No. 4 (1987); 8-19; Z.F.M.66247011 (89); Math. Rev. 89k47100, Nicole Brillouet-Belluot (Nantes).
13. On some theorems of Mishra Ciric and Iseki, Mat. Vesnik, Vol. 39 (1987), 377-380; Math. Rev. 89c54083; Z.F.M.64854035, (1989).
14. An iterative solution of the polynomial equation in Banach space, Bull. Inst. Math. Acad. Sin., Vol. 15, No. 4 (1987), 403-410; (Math. Rev. Author index 1989), 47H17, 46G99, 58C15.
15. A survey on the ideals of the space of bounded linear operators on a separable Hilbert space, Rev. Acad. Ci. Exactas Fis. Quim. Nat. Zaragoza, II. Ser. 42 (1987), 24-43; Math. Rev. 89g47059.
16. On the solution by series of some nonlinear equations, Rev. Acad. Ci. Exactas Fis. Quim.Nat. Zaragoza, II. Ser. 42 (1987), 18-23; Z.F.M.64947048, (1989); Math. Rev. 90f65085, V.V. Vasin (Sverdlosk).
17. Newton-like methods under mild differentiability conditions with error analysis, Bull. Austral. Math. Soc., Vol. 37, 1 (1988), 131-147; Z.F.M.62965061, (1988), S. Reich; Math. Rev. 89b65142, A.V. Dzhishkariani (Tbilisi).
18. On Newton's method and nondiscrete mathematical induction, Bull. Austral. Math. Soc., Vol. 38 (1988), 131-140; Math. Rev. 90a65136, A.M. Galperin (Ben-Gurion Intern. Airp.).
19. On a class of nonlinear integral equations arising in neutron transport, Aequationes Mathematicae, Vol. 35 (1988), 99-111; Math. Rev. 89M47058, H.E. Gollwitzer (1-DREX).
20. New ways for finding solutions of polynomial equations in Banach space, Tamkang J. Math., Vol. 19, 1 (1988), 37-42; Math. Rev. 90f47093, V.V. Vasin (Sverdlosk).
21. On a new iteration for solving polynomial equations in Banach space, Funct. et Approx. Comment. Math., Vol. XIX (1988); Math. Rev. 91d:65082, Xiaojun Chen.
22. Conditions for faster convergence of contraction sequences to the fixed points of some equations in Banach space, Tamkang J. Math., Vol. 19, 3 (1988), 19-22; Math. Rev. 90j47074, Roman Manka (Mogilno).
23. Approximating the fixed points of some nonlinear equations, Mathem. Slovaca, 38, No. 4 (1988), 409-417; Z.F.M.667 (1989), S.L. Singh. Math. Rev. 90g47109 (O.P. Kapoor (6-11TK)).
24. Some sufficient conditions for finding a second solution of the quadratic equation in Banach space, Mathem. Slovaca, 4 (1988); Math. Rev. 90g47108 (O.P. Kapoor (6-11TK)).
25. Concerning the approximation solutions of operator equations in Hilbert space under mild differentiability conditions, Tamkang J. Math., Vol. 19, No. 4 (1988), 81-87; Math. Rev. 91g:65137, P.S. Milojevic.
26. The Secant method and fixed points of nonlinear equations, Monatshefte fur Mathematik, 106 (1988), 85-94; Z.F.M.65265043 (1989); Math. Rev. 90b6511, A.M. Galperin, Ben-Gurion Intern. Airport.
27. An iterative procedure for finding "large" solutions of the quadratic equation in Banach space, P.U.J.M., Vol. XXI (1988), 13-21; Math. Rev. 91g:65136, P.S. Milojevic.
28. Vietta-Like relations in Banach space, Rev. Acad. Ci. Exactas Fis. Quim. Nat. Zaragoza, I, Ser. 43 (1988), 103-107; Math. Rev. 47f47095, V.V. Vasin (Sverdlovsk).
29. A global theorem for the solutions of polynomial equations, Rev. Acad. Ci. Exactas Fis. Quim. Nat Zaragoza, I, Ser. 43 (1988), 93-101; Math. Rev. 90f47094, V.V. Vasin, (Sverdlosk).
30. Concerning the convergence of Newton's method, P.U.J.M., Vol. XXI (1988), 1-11; Math. Rev. 91g:65135, P.S. Milojevic.
31. On the number of solutions of some integral equations arising in radiative transfer, Internat. J. Math.& Math. Sci., Vol. 12, No. 2 (1989), 297-304; Math. Rev. 90h86004, S. Rajasekar (Ticuchirapalli).
32. On the approximate solutions of operator equations in Hilbert space under mild differentiability conditions, J. Pure & Appl. Sci., Vol. 8, No. 1 (1989), 51-56.
33. On the fixed points of some compact operator equations, Tamkang J. Math., Vol. 20, No. 3 (1989), 203-209; Math. Rev. 91a47088, Jing Xian Sum (PRC-Shan).
34. Error bounds for a certain class of Newton-like methods, Tamkang J. Math., Vol. 20, No. 4 (1989); Math. Rev. 91k:65096, J.W. Schmidt.
35. Concerning the convergence of iterates to fixed points of nonlinear equations in Banach space, Bull. Malays. Math. Soc., Vol. 12, 2 (1989), 15-24; Math. Rev. Author index 1991.
36. A series solution of the quadratic equation in Banach space, Chinese J. Math., Vol. 27, No. 4 (1989); Math. Rev. 90k47131.
37. On a fixed point in a 2-Banach space, Rev. Acad. Ciencias, Zaragoza, 44 (1989), 19-21; Math. Rev. 91a47077; Math. Rev. 91a:47077.
38. Some matrices in oligopoly theory, New Mexico J. Sci., 29, 1 (1989), 22.
39. On a theorem of Fisher and Khan, Rev. Acad. Ciencias, Zaragoza, 44 (1989), 13-17; Math. Rev. 91d:54048, Sehie Park.
40. On quadratic equations, Mathematica-Rev. Anal. Numer. Theor. Approximation, 18, 1 (1989), 19-26; Math. Rev. 91f:47094.
41. Concerning the approximate solutions of nonlinear functional equations under mild differentiability conditions, Bull. Malays. Math. Soc., Vol. 12, 1 (1989), 55-65; Math. Rev. 91k:47164, V.V. Vasin.
42. On the convergence of certain iterations to the fixed points of nonlinear equations, Annales sectio computatorica, Ann. Univ. Sci. Budapest. Sect. Computing, 9 (1989), 21-31; Math. Rev. 91k:65095, J.W. Schmidt.
43. On the secant method and nondiscrete mathematical induction, Mathematica-Revue d'Analyse Numerique et de Theorie de l'Approximation, tome 18, No. 1 (1989), 27-36; Math. Rev. 91j:65104.
44. On Newton's method for solving nonlinear equations and multilinear projections, Functiones et approximatio Comment. Math., XIX (1990), 41-52; Math. Rev. 92b:4707, Joe Thrash.
45. Nonlinear operator equations and pointwise convergence, Functiones et approximatio Comment. Math., XIX (1990), 29-39; Math. Rev. 92b:47106, Joe Thrash.
46. Iterations converging faster than Newton's method to the solutions of nonlinear equations in Banach space, Functiones et approximatio Comment. Math., XIX (1990), 23-28; Math. Rev. 91m:65164.
47. On some quadratic integral equations, Functiones et Approximmatio, XIX (1990), 159-166; Math. Rev. 92d:47081, Aeinrich Steinlein.
48. A mesh independence principle for nonlinear equations using Newton's method and nonlinear projections, Rev. Acad. Ciencias. Zaragoza, 45 (1990), 19-35; Math. Rev. 92e:65076a, Mihai Turinci.
49. Error bounds for the modified secant method, BIT, 30 (1990), 92-100; Math. Rev. 91d:65083, Xiaojun Chen.
50. Improved error bounds for a certain class of Newton-like methods, J. Approximation Theory and its Applications, (6:1) (1990), 80-98; Math. Rev. 92a:65188, A.M. Galperin.
51. On the solution of some equations satisfying certain differential equations, P.U.J.M., Vol. XXIII (1990), 47-59; Math. Rev. 92d:65102.
52. On some projection methods for approximating the fixed points of nonlinear equations in Banach space, Tamkang J. Math., Vol. 21, 4 (1990), 351--357; Math. Rev. 92a:47072, Joe Thrash.
53. On some projection methods for the approximation of implicit functions, Appl. Math. Lett., Vol. 3, No. 2 (1990), 5-7; Math. Rev. 91b65066.
54. On the monotone convergence of some iterative procedures in partially ordered Banach spaces, Tamkang J. Math., Vol. 21, No. 3 (1990), 269-277; Math. Rev. 91h:47067, Joe Thrash.
55. The Newton-Kantorovich method under mild differentiability conditions and the Ptak error estimates, Monatschefte fur Mathematik, Vol. 109, No. 3 (1990); Math. Rev. 91k:65034, J.W. Schmidt.
56. The secant method in generalized Banach spaces, Appl. Math. & Comput., 39 (1990), 111-121; Math. Rev. 91h:65099.
57. On the solution of equations with nondifferentiable operators and Ptak error estimates, BIT, 30 (1990), 752-754; Math. Rev. 91k:65099.
58. On some projection methods for enclosing the root of a nonlinear operator equation, P.U.J.M., Vol. XXIII (1990), 35-46; Math. Rev. 91h:47067, Joe Thrash.
59. A mesh independence principle for operator equations and their discretizations under mild differentiability conditions, Computing, 45 (1990), 265-268; Math. Rev. 91i:65106.
60. On Newton's method under mild differentiability conditions, Arabian J. Math., Vol. 15, 1 (1990), 233-239; Math. Rev. 91k:65097, J.W. Schmidt.
61. Remarks on quadratic equations in Banach space, Intern. J. Math. & Math. Sci., Vol. 13, No. 3 (1990), 611-616; Math. Rev. 91e:47062.
62. On the improvement of the speed of convergence of some iterations converging to solutions of quadratic equations, Acta Math. Hungarica, Vol. 57/3-4 (1990), 245-252; Math. Rev. 93d:47121, Teodor Potra.
63. A note on Newton's method, Rev. Acad. Ciencias Zaragoza, 45 (1990), 37-45; Math. Rev. 92e:65076b, Mihai Turinici.
64. On the solution of compact linear and quadratic operator equations in Hilbert space, Rev. Acad. Ciencias Zaragoza, 45 (1990), 47-52; Math. Rev. 92e:65076c, Mihai Turinici.
65. On some generalized projection methods for solving nonlinear operator equations with a nondifferentiable term, Bull. Malays. Math. J., Vol. 13, No. 2 (1990), 85-91; Math. Rev. 92g:65065, Gerard, Lebourg.
66. Comparison theorems for algorithmic models, Applied Math. and Comput., Vol. 40, No. 2 (Nov. 1990), 179-187; Math. Rev. 92b:65102.
67. On an iterative algorithm for solving nonlinear equations, Beitrage zur Numerischen Math. (Renamed Z.A.A.), Vol. 10, No. 1 (1991), 83-92; Math. Rev. 93b:47132.
68. On time dependent multistep dynamic processes with set valued iteration functions on partially ordered topological spaces, Bull. Austral. Math. Soc., Vol. 43 (1991), 51-61; Math. Rev. 92d:65107, Tetsuro Yamamoto.
69. Error bounds for the secant method, Math. Slovaca, Vol. 41, 1 (1991), 69-82; Math. Rev. 92j:65086, K. Bohmer.
70. On the approximate solutions of nonlinear functional equations under mild differentiability conditions, Acta Math. Hungarica, Vol. 58 (1-2) (1991), 3-7; Math. Rev. Author index, 1992.
71. On the convergence of some projection methods with perturbation, J. Comput. and Appl. Math., 36 (1991), 255-258; Math. Rev. 92f:65065, H.R. Shen.
72. On an application of a modification of the Zincenko method to the approximation of implicit functions, Z.A.A., 10 3 (1991), 391-396; Math. Rev. 93b:47133, Tetsuro Yamamoto.
73. On some projection methods for solving nonlinear operator equations with a nondifferentiable term, Rev. Academia de Ciencias, Zaragoza, 46 (1991), 17-24; Math. Rev. 92m:47133.
74. Integral equations for two-point boundary value problems, Rev. Academia de Ciencias, Zaragoza, 46 (1991), 25-35; Math. Rev. 93b:65205, Jan Pekar.
75. A fixed point theorem for orbitally continuous functions, Pr. Rev. Mat., Vol. 10, No. 7 (1991), 53-57; Math. Rev. 93d:47101, Ramendra Krishna Bose.
76. Bounds for the zeros of polynomials, Rev. Academia de Ciencias, Zaragoza, 47 (1992), 61-66; Math. Rev. 94a:26035, N.K. Govil.
77. On a class of quadratic equations with perturbation, Functiones et Approximmatio, XX (1992), 51-63; Math. Rev. 94a:45011, P.M. Gupta.
78. On a new iteration for finding "almost" all solutions of the quadratic equation in Banach space, Studia Scientiarum Mathematicarum Hungarica, 27, (3-4) (1992), 361-368; Math. Rev. 94d:65037, J.W. Schmidt.
79. A Newton-like method for solving nonlinear equations in Banach space, Studia Scientiarum Mathematicarum Hungarica, 27 (3-4) (1992), 369-378; Math. Rev. 94d:65038, J.W. Schmidt.
80. On the convergence of nonstationary Newton methods, Func. et Approx., Vol. XXI (1992), 7-16; Math. Rev. 95g:65080, A.M. Galperin.
81. On an application of the Zincenko method to the approximation of implicit functions, Publicationes Mathematicae Debrecen, Vol. 40/1-2 (1992), 43-49; Math. Rev. 93c:47076, A.M. Galperin.
82. Improved error bounds for the modified secant method, Intern. J. Computer Math., Vol. 43, No. 1+2 (1992), 99-109.
83. On the midpoint method for solving nonlinear operator equations in Banach spaces, Appl. Math. Letters, Vol. 5, No. 4 (1992), 7-9; Math. Rev. 96b:65061.
84. On an application of a Newton-like method to the approximation of implicit functions, Math. Slovaca, 42, No. 3 (1992), 339-347; Math. Rev. 93h:65081, J.W. Schmidt.
85. On the monotone convergence of general Newton-like methods, Bull. Austral. Math. Soc., 45 (1992), 489-502; Math. Rev. 93c:65077.
86. Convergence of general iteration schemes, J. Math. Anal. and Applic., 168, No. 1 (1992), 42-52; Math. Rev. 93d:65055, S. Sridhar.
87. Some generalized projection methods for solving operator equations, Jour. Comp. Appl. Math., 39, No. 1 (1992), 1-6; Math. Rev. 92m:65079.
88. Sharp error bounds for a class of Newton-like methods under weak smoothness assumptions, Bull. Austral. Math. Soc., 45 (1992), 415-422; Math. Rev. 93c:65076.
89. Approximating Newton-like procedures, Appl. Math. Lett., Vol. 5, No. 1 (1992), 27-29. CMP 1 144362.
90. On a mesh independence principle for operator equations and the secant method, Acta Math. Hungarica, 60, 1-2 (1992), 7-19; Math. Rev. 94g:65057, A.M. Galperin.
91. On the solution of quadratic integral equations, P.U.J.M., Vol. XXV (1992), 131-143; Math. Rev. 95j:65177, P. Uba.
92. On the convergence of generalized Newton-methods and implicit functions, Journ. Comp. Appl. Math., 43 (1992), 335-342; Math. Rev. 93m:65076, J.W. Schmidt.
93. On a Stirling-like method, P.U.J.M., Vol. XXV (1992), 83-94; Math. Rev. 95j:65062, Anton Suhadolc.
94. On the approximate construction of implicit functions and Ptak error estimates, P.U.J.M., Vol. XXV (1992), 95-98; Math. Rev. Author Index 1995.
95. On the numerical solution of linear perturbed two-point boundary value problems with left, right and interior boundary layers, Arabian J. Science and Engineering, 17: 4B (October 1992), 611-624; Math. Rev. 94c:65097.
96. On the convergence of Newton-like methods, Tamkang J. Math., Vol. 23, No. 3 (1992), 165-170; Math. Rev. 93m:65077, J.W. Schmidt.
97. On the monotone convergence of algorithmic models, Applied Math. and Comput., 48, (2-3) (1992), 167-176; Math. Rev. 92m:47134, Vincentiu Dumitru.
98. Approximating Newton-like iterations in Banach space, P.U.J.M., Vol. XXV (1992), 49-59; Math. Rev. 95j:65061, Anton Suhadolc.
99. On the approximation of quadratic equations in Banach space using finite rank operators, Rev. Academia de ciencias Zaragoza, 47 (1992), 67-76; Math. Rev. 94f:47085.
100. Remarks on the convergence of Newton's method under Holder continuity conditions, Tamkang J. Math., Vol. 23, No. 4 (1992), 269-277; Math. Rev. 94b:65080, J.W. Schmidt.
101. On the solution of nonlinear operator equations in Banach space and their discretizations, Pure Mathematics and Applications, Ser. B, Vol. 3, No. 2-3-4 (1992), 157-173; Math. Rev. 94i:65069, C. Ilioi.
102. On the convergence of optimization algorithms modeled by point-to-set mappings, Pure Mathematics and Applications, Ser. B, Vol. 3, No. 2-3-4 (1992), 77-86; Math. Rev. 94i:90117, Han Ch'ing Lai.
103. On the convergence of inexact Newton-like methods, Public. Math. Debrecen, Vol. 43, 1-2 (1993), 79-85; Math. Rev. 94h:65064, Carl T. Kelley.
104. On some projection methods for the solution of nonlinear operator equations with nondifferentiable operators, Tamkang J. Math., Vol. 24, No. 1 (1993), 1-8; Math. Rev. 94m:65097, A.V. Dzhishkariani.
105. An initial value method for solving singular perturbed two-point boundary value problems, Arabian Journ. Scienc. and Engineer., Vol. 18, 1 (1993), 3-5.
106. On the solution of nonlinear equations with a nondifferentiable term, Revue D'Analyse Numerique et de Theorie de l'Approximation, Tome 22, 2 (1993), 125-135; Math. Rev. 96a:65092, A.M. Galperin (IL-BGUN; Be'er Sheva).
107. Some methods for finding error bounds for Newton-like methods under mild differentiability conditions, Acta Math. Hungarica, 61, (3-4) (1993), 183-194; Math. Rev. 94m:65096, A.V. Dzhishkariani.
108. On the secant method, Publicationes Mathematicae Debrecen, Vol. 43, 3-4 (1993), 223-238; Math. Rev. 95j:47077, R. Kodnar.
109. Improved error bounds for Newton's method under generalized Zabrejko-Nguen-type assumptions, Appl. Math. Letters, Vol. 6, No. 3 (1993), 75-77; Math. Rev. Author index 1996.
110. A fourth order iterative method in Banach spaces, Appl. Math. Letters, Vol. 6, No. 4 (1993), 97-98; Math. Rev. Author index 1996.
111. Newton-like methods and nondiscrete mathematical induction, Studia Scientiarum Mathematicarum Hungarica, 28 (1993), 417-426; Math. Rev. 95b:47084, A.M. Galperin.
112. Robust estimation and testing for general nonlinear regression models, Appl. Math. and Comp., 58 (1993), 85-101; Math. Rev. 94i:62097, Adrej Pazman.
113. A mesh independence principle for nonlinear operator equations in Banach space and their discretizations, Studia Scientiarum Math. Hung., 28 (1993), 401-415; Math. Rev. 95b:65077, A.M. Galperin.
114. Sharp error bounds for the secant method under weak assumptions, P.U.J.M., Vol. XXVI (1993), 54-62; Math. Rev. Author index 1995.
115. An error analysis of Stirling's method in Banach spaces, Tamkang J. Math., Vol. 24, No. 2 (1993), 115-133; Math. Rev. 94h:65058, A.M. Galperin.
116. New sufficient conditions for the approximation of distinct solutions of the quadratic equation in Banach space, Tamkang J. Math., Vol. 24, No. 4 (1993), 355-372; Math. Rev. 95f:47090.
117. On the convergence of inexact Newton methods, Chinese J. Math., Sept. Vol. 21, No. 3 (1993), 227-234; Math. Rev. 94f:47088, Mihai Turinici.
118. On the solution of equations with nondifferentiable operators, Tamkang J. Math., Vol. 24, No. 3 (1993), 237-249; Math. Rev. 94i:65070, C. Ilioi.
119. Sufficient conditions for the convergence of general iteration schemes, Chinese J. Math., Vol. 21, No. 2 (1993), 195-205; Math. Rev. 94f:47087, Mihai Turinici.
120. On a two-point Newton method in Banach spaces of order four and applications, (1993), Proceedings of the 9th Annual Conference on Applied Mathematics, CAM 93, University of Central Oklahoma, Edmond, (1993), Rev. Academia de Ciencias, Zaragoza, 50 (1995), 5-13; Math. Rev. Author index 1996.
121. On a two-point Newton method in Banach spaces of order three and applications, Proceedings of the 9th Annual Conference on Applied Mathematics, CAM 93, University of Central Oklahoma, Edmond, (1993), 24-37; P.U.J.M., Vol. 27 (1994), 10-22; Math. Rev. Author index 1996.
122. On a two point Newton-method in Banach spaces and the Ptak error estimates, Proceedings of the 9th Annual Conference on Applied Mathematics, CAM 93, University of Central Oklahoma, Edmond, (1993), 8-24; Communications on Applied Nonlinear Analysis, 7, (2000), 2, 87-100.
123. Sufficient convergence conditions for iteration schemes modeled by point-to-set mappings, Proceedings of the 9th Annual Conference on Applied Mathematics, CAM 93, University of Central Oklahoma, Edmond, (1993), 48-52. Also Applied Mathematics Letters, Vol. 9, No. 2 (1996), 71-73; Math. Rev. Author index 1996.
124. On the convergence of a Chebysheff-Halley-type method under Newton-Kantorovich hypotheses, Appl. Math. Letters, Vol. 6, No. 5 (1993), 71-74; Math. Rev. Author index 1996.
125. On an application of a variant of the closed graph theorem and the secant method, Tamkang J. Math., Vol. 24, No. 3 (1993), 251-267; Math. Rev. 94m:65098, Rabindra Nath Sen.
126. Newton-like methods in partially ordered Banach spaces, Approx. Theory and Its Applic., 9:1 (1993), 1-9; Math. Rev. 94f:47086, Mihai Turinici
127. Results on the Chebyshev method in Banach spaces, Proyecciones Revista, Vol. 12, No. 2 (1993), 119-128; Math. Rev. 94j:65078, A.M. Galperin (IL-BGUN; Be'er Sheva).
128. On the convergence of an Euler-Chebysheff-type method under Newton-Kantorovich hypotheses, Pure Mathematics and Applications, Vol. 4, No. 3 (1993), 369-373; Math. Rev. 95g:65081, Tetsuro Yamamoto.
129. A note on the Halley method in Banach spaces, Appl. Math. and Comp., 58 (1993), 215-224; Math. Rev. 94k:65082, Erich Bohl (Konstanz).
130. On the solution of underdetermined systems of nonlinear equations in Euclidean spaces, Pure Mathematics and Applications, Vol. 4, No. 3 (1993), 199-209; Math. Rev. 95a:65089.
131. On the a posteriori error bounds for a certain iteration under Zabrejko-Ngyen assumptions, Rev. Academia de Ciencias, Zaragoza, 48 (1993), 77-85; Math. Rev. 95b:65076.
132. Newton-like methods in generalized Banach spaces, Functiones et Approximatio, XXII (1993), 107-114; Math. Rev. 95i:65088, Mihai Turinici.
133. On S-order of convergence, Rev. Academia de Ciencias Zaragoza, 48 (1993), 69-76; Math. Rev. Author index 1994.
134. A theorem on perturbed Newton-like methods in Banach spaces, Studia Scientiarum Mathematicarum Hungarica, 29 (1994), 295-305; Math. Rev. 95i:65089.
135. Some notes on nonstationary multistep iteration processes, Acta Mathematica Hungarica, Vol. 64, 1 (1994), 59-64; Math. Rev. 94m:90098.
136. Improved a posteriori error bounds for Zincenko's iteration, Intern. J. Comp. Math., Vol. 51 (1994), 51-54.
137. The Jarratt method in a Banach space setting, J. Comp. Appl. Math., 51 (1994), 103-106; Math. Rev. 95c:65088.
138. The midpoint method in Banach spaces and Ptak-error estimates, Appl. Math. and Computation, 62, 1 (1994), 1-15; Math. Rev. 95c:65087, Mihai Turinici.
139. A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions, Appl. Math. and Comput., 61, 1 (1994), 25-37; Math. Rev. 65g:65082.
140. On the convergence of some projection methods and inexact Newton-like iterations, Tamkang J. Math., Vol. 25, No. 4 (1994), 335-341; Math. Rev. 95m:65105, Mihai Turinici.
141. On Newton's method and nonlinear operator equations, P.U.J.M., Vol. 27 (1994), 34-44; Math. Rev. Author index 1996.
142. On the midpoint iterative method for solving nonlinear operator equations and applications to the solution of integral equations, Revue D'Analyse Numerique et de Theorie de l'Approximation, Tome 23, fasc. 2 (1994), 139-152; Math. Rev. 97j:65093.
143. Parameter based algorithms for approximating local solutions of nonlinear complex equations, Proyecciones, Vol. 13, No. 1 (1994), 53-61; Math. Rev. 95f:65100.
144. The Halley-Werner method in Banach spaces, Revue D'Analyse Numerique et de Theorie de l'Approximation, Tome 23, fasc. 2 (1994), 1-14; Math. Rev. 96c:65099, G. Alefeld (CD-KLRH-A; Karlsruhe).
145. Error bound representations of Chebysheff-Halley-type methods in Banach spaces, Rev. Academia de Ciencias Zaragoza, 49 (1994), 57-69; Math. Rev. 95j:65065.
146. On the discretization of Newton-like methods, Internat. J. Computer. Math., Vol. 52 (1994), 161-170.
147. A local convergence theorem for the super-Halley method in a Banach space, Appl. Math. Lett., Vol. 7, No. 5 (1994), 49-52; Math. Rev. Author index 1996.
148. A convergence analysis for a rational method with a parameter in Banach space, Pure Mathematics and Applications, 5, 1 (1994), 59-73; Math. Rev. 95j:65063.
149. On sufficient conditions of the convergence and an optimality of error estimate for a high speed iterative algorithm for solving nonlinear algebraic systems, Chinese J. Math., Vol. 22, No. 4 (1994), 373-384; Math. Rev. 95i:65078, Xiaojun Chen.
150. On the convergence of modified contractions, Journ. Comput. Appl. Math., 55, 2 (1994), 183-189; Math. Rev. 96a:65085.
151. A multipoint Jarratt-Newton-type approximation algorithm for solving nonlinear operator equations in Banach spaces, Functiones et Aproximatio Commentarii Matematiki, XXIII (1994), 97-108; Math. Rev. 96c:65098.
152. Convergence results for the super-Halley method using divided differences, Functiones et Approximatio Commentari Mathematici, XXIII (1994), 109-122; Math. Rev. 96d:6509.
153. On the aposteriori error estimates for Stirling's method, Studia Scientiarum Mathematicarum Hungarica, 30, 3-4 (1995), 205-216; Math. Rev. 96g:65055, Otmar Scherzer (1-DE; Newark, DE).
154. Sufficient conditions for the convergence of Newton-like methods under weak smoothness assumptions, Mathematics, CAM 95, Edmond, OK (1995), Proceedings of the Eleventh Conference on Computational and Applied Mathematics (1995), 1-13; Mathematical Sciences Research Hot-Line, 5, 3 (2001), 17-27.
155. On Stirling's method, Tamkang J. Math., Vol. 27, No. 1 (1995).
156. Stirling's method and fixed points of nonlinear operator equations in Banach space, Bulletin of the Institute of Mathematics Academic Sinica, Vol. 23, No. 1 (1995), 13-20; Math. Rev. 96b:65060, A.M. Galperin (IL-BGUN; Be'er Sheva).
157. Error bounds for fast two-point Newton methods of order four, Mathematics, CAM 95, Edmond, OK (1995), Proceedings of the Eleventh Annual Conference on Computational and Applied Mathematics (1995), 14-18; Mathematical Sciences Research Hot-Line, 5, 3 (2001), 29-33.
158. Improved error bounds for fast two-point Newton methods of order three, Mathematics, CAM 95, Edmond, OK (1995), Proceedings of the Eleventh Annual Conference on Computational and Applied Mathematics (1995), 19-23; Rev. Academia de Ciencias, Zaragoza, 50 (1995), 15-19; Math. Rev. Author index 1996.
159. Stirling's method in generalized Banach spaces, Annales Univ. Sci. Budapest. Sect. Comp., 15 (1995), 37-47; Math. Rev. 97m:47093 (George Isac).
160. A unified approach for constructing fast two-step Newton-like methods, Monatshefte fur Mathematik, 119 (1995), 1-22; Math. Rev. 96a:65093, Otmar Scherzer (1-TXAM; College Station, TX).
161. On the Secant method and the Ptak error estimates, Revue d'Analyse Numerique et de Theorie de l'Approximation, 24, 1-2 (1995), 3-14; Math. Rev. 1998, pp. 58.
162. An error analysis for the secant method under generalized Zabrejko-Nguen-type assumptions, Arabian Journal of Science and Engineering, 20:1 (1995), 197-206; Math. Rev. 96c:65100, A.M. Galperin (IL-BGUN; Be'er Sheva).
163. Optimal-order parameter identification in solving nonlinear systems in a Banach space, Journal of Computational Mathematics, 13, 3 (1995), 267-280; Math. Rev. 96j:65070, A.A. Fonarev (Moscow).
164. Nondifferentiable operator equations on Banach spaces with a convergence structure, Pure Mathematics and Applications, (PUMA), Vol. 6, 1 (1995), Math. Rev. 97h:47062.
165. Perturbed Newton-like methods and nondifferentiable operator equations on Banach spaces with a convergence structure, (SWJPAM) Southwest Journal of Pure and Applied Mathematics, 1 (1995), 1-12; Math. Rev. 97k:65139, A.M. Galperin.
166. Results on controlling the residuals of perturbed Newton-like methods on Banach spaces with a convergence structure, (SWJPAM) Southwest Journal of Pure and Applied Mathematics, 1 (1995), 32-38; Math. Rev. 97k:65140.
167. A study on the order of convergence of a rational iteration for solving quadratic equations in a Banach space, Rev. Academia de Ciencias, Zaragoza, 50 (1995), 35-40; Math. Rev. Author index 1996.
168. On an application of a variant of the closed graph theorem to the solution of nonlinear equations, Pure Mathematics and Applications, (PUMA), 6, 4 (1995), 301-312; Math. Rev. 97b:47063, M.Z. Nashed.
169. Results on Newton methods; Part I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications, Appl. Math. and Comp., 74, 2-3 (1996), 119-141; Math. Rev. 97b:65074, De Ren Wang.
170. Results on Newton methods; Part II: Perturbed Newton-like methods in generalized Banach spaces, Appl. Math. and Comp., 74, 2-3 (1996), Math. Rev. 97b:65075, De Ren Wang.
171. On the method of tangent hyperbolas, Journal of Approximation Theory and Its Applications, 12, 1 (1996), 78-95, Math. Reviews AMS 99d65174.
172. A unified approach for constructing fast two-step methods in Banach space and their applications, Proc. 12th Conference CAM 96, Computational and Applied Math., Edmond, OK, (1996), 1-50; Pan American Math. J., 13, 3 (2003), 59-108.
173. On the method of tangent parabolas, Functiones et Approximatio Commentarii Mathematici, XXIV (1996), 3-15; Math. Rev. 98a:65077.
174. On an extension of the mesh-independence principle for operator equations in Banach space, Appl. Math. Lett., Vol. 9, No. 3 (1996), 1-7; Math. Rev. 97a:47108.
175. An inverse-free Jarratt type approximation in a Banach space, Journal of Approximation Theory and Its Applications, 12, 1 (1996), 19-30; Math Rev. 1998, pp. 58.
176. An error analysis for the Steffensen method under generalized Zabrejko-Nguen-type assumptions, Revue d'Analyse Numerique et de Theorie de l'Approximation, 25, 1-2 (1996), 11-22; Math. Reviews AMS Gabriel Dimitriu 99c47105.
177. Concerning the convergence of inexact Newton-like methods on Banach spaces with a convergence structure and applications, Proceedings of the International Conference on Approximation and Optimization (Romania) - ICAOR Cluj-Napoca, July 19-August 1, (1996), 163-172; Math. Rev. 98j:65040.
178. Improved error bounds for an Euler-Chebysheff-type method, Pure Math. Appl. (PUMA), 7, 1-2 (1996), 41-51; Math. Rev. 97j:65097.
179. On the convergence of perturbed Newton-like methods in Banach space and applications, Southwest J. Pure Appl. Math., 2 (1996), 34-41; Math Rev. 98b:65060.
180. Sufficient conditions for the convergence of iterations to points of attraction in Banach spaces, Southwest J. Pure Appl. Math., 2 (1996), 42-47; Math. Rev. 98b:65061.
181. Weak conditions for the convergence of iterations to solutions of equations on partially ordered topological spaces, Southwest J. Pure Appl. Math., 2 (1996), 48-54; Math Rev. 98b:65062.
182. On the monotone convergence of implicit Newton-like methods, Southwest J. Pure Appl. Math., 2 (1996), 55-59; Math Rev. 98b:65063.
183. A generalization of Edelstein's theorem on fixed points and applications, Southwest J. Pure Appl. Math., 2 (1996), 60-64; Math. Rev. 98a:65078.
184. Generalized conditions for the convergence of inexact Newton methods on Banach spaces with a convergence structure and applications, Pure Mathematics and Applications (PUMA), 7, 3-4 (1996), 197-214; Math. Rev. Author index 1997.
185. Error bounds for an almost fourth order method under generalized conditions, Rev. Academia de Ciencias, Zaragoza, 51 (1996), 19-26; Math. Rev. 98c:65091, Tetsuro Yamamoto.
186. A simplified proof concerning the convergence and error bound for a rational cubic method in Banach spaces and applications to nonlinear integral equations, Rev. Academia de Ciencias, Zaragoza, 51 (1996), 47-55; Math. Rev. 98e:65074, Xiaojun Chen.
187. On the convergence of Chebysheff-Halley-type method using divided differences of order one, Rev. Academia de Ciencias, Zaragoza, 51 (1996), 27-45; Math. Rev. 98d:65074.
188. On the convergence of two-step methods generated by point-to-point operators, Appl. Math. and Comput., 82, 1 (1997), 85-96; Math. Rev. 97m:65107, A.M. Galperin, Boro Doring.
189. Improved error bounds for Newton-like iterations under Chen-Yamamoto assumptions, Appl. Math. Lett., 10, 4 (1997), 97-100; Math. Rev. 1998, pp. 59.
190. Inexact Newton methods and nondifferentiable operator equations on Banach spaces with a convergence structure, Approx. Th. Applic., 13, 3 (1997), 91-104; Math. Reviews AMS 99a47101.
191. A mesh independence principle for inexact Newton-like methods and their discretizations under generalized Lipschitz conditions, Appl. Math. Comp., 87 (1997), 15-48; Math. Rev. 98d:65075, Asen L. Dontchev.
192. On the super-Halley method using divided differences, Appl. Math. Lett., 10, 4 (1997), 91-95; Math. Rev. 1998, pp. 59.
193. Chebysheff-Halley like methods in Banach spaces, Korean Journ. Comp. Appl. Math., Vol. 4, No. 1 (1997), 83-107; Math. Rev. 98a:47068, Tetsuro Yamamoto.
194. Concerning the convergence of inexact Newton methods, J. Comp. Appl. Math., 79 (1997), 235-247; Math. Rev. 98c:47077, P.P. Zabrejko.
195. General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces, Southwest Journal of Pure and Applied Mathematics, 1 (1997), 18-22; Math. Rev. AMS 99d65176.
196. Smoothness and perturbed Newton-like methods, Pure Mathematics and Applications (PUMA), 8, 1 (1997), 13-28; Math. Rev. 98h:65023.
197. A mesh independence principle for operator equations and Steffensen-method, Korean J. Comp. Appl. Math., 4, 2 (1997), 263-280; Math. Rev. 98c:65092.
198. Improving the rate of convergence of Newton methods on Banach spaces with a convergence structure and applications, Appl. Math. Lett., 10, 6 (1997), 21-28; Math. Rev. 1999, pp. 59.
199. A new convergence theorem for Steffensen's method on Banach spaces and applications, Southwest Journal of Pure and Applied Mathematics, 1 (1997), 23-29; Math. Rev. AMS 99d65177.
200. A local convergence theorem for the inexact Newton method at singular points, Southwest Journal of Pure and Applied Mathematics, 1 (1997), 30-36; Math. Rev. AMS 99d65178.
201. Applications of a special representation of analytic functions, Southwest Journal of Pure and Applied Mathematics, 2 (December 1997), 43-47; Math. Rev. AMS 99h65101 (John G. Stalker).
202. On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations, IMA J. Num. Anal., Journal of the Institute of Mathematics and Its Applications, 18 (1997), 37-56; Math. Rev. AMS 99a65075 (De Ren Wang).
203. Results involving nondifferentiable equations on Banach spaces with a convergence structure and Newton methods, Rev. Academia de Ciencias, de Zaragoza, 52 (1997), 23-30; Math. Rev. AMS 99c57101 (A.M. Galperin).
204. The asymptotic mesh independence principle for inexact Newton-Galerkin-like methods, PUMA, 8, 2-3-4, (1997), 169-194; Math. Rev. AMS 99d65175
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206. Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method, Southwest J. Pure Appl. Math., 1 (1998), 24-28; Math. Rev. AMS 99d65180.
207. On the monotone convergence of an Euler-Chebysheff-type method in partially ordered topological spaces, Revue d'Analyse Numerique et de Theorie de l'Approximation, 27, 1 (1998), 23-31.
208. Sufficient conditions for constructing methods faster than Newton's, Appl. Math. Comp., 93 (1998), 169-181; Math. Rev. AMS 99c65110.
209. Error bounds for the Chebyshev method in Banach spaces, Bull. Inst. Acad. Sinica, 26, 4 (1998), 269-282; Math. Rev. AMS 99h65118.
210. Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term, Revue d'Analyse Numerique et de Theorie de l'Approximation, 27, 2 (1998), 191-202.
211. On the convergence of a certain class of iterative procedures under relaxed conditions with applications, J. Comp. Appl. Math., 94 (1998), 13-21; Math. Rev. AMS 99d65179.
212. Improving the order and rates of convergence for the Super-Halley method in Banach spaces, Korean J. Comp. Appl. Math., 5, 2 (1998), 465-474; Math. Rev. AMS 99f65083 (A.M. Galperin).
213. A new convergence theorem for the Jarratt method in Banach spaces, Computers and Mathematics with Applications, 36, 8 (1998), 13-18; Math. Rev. AMS 99g65066.
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215. On Newton's method under mild differentiability conditions and applications, Appl. Math. Comp., 102 (1999), 177-183; Math. Rev. AMS Annual Author Index 1999.
216. Improved error bounds for a Chebysheff-Halley-type method, Acta Math. Hungarica, 84, (3) (1999), 209-219.
217. Convergence rates for inexact Newton-like methods at singular points and applications, Appl. Math. Comp., 102 (1999), 185-201; Math. Rev. AMS Annual Author Index 1999.
218. Convergence domains for some iterative processes in Banach spaces using outer and generalized inverses, J. Computational Analysis and Applications, Vol. 1, No. 1, (1999), 87-104.
219. Concerning the convergence of a modified Newton-like method, Zeitschrift fur analysis und ihre Anwendungen, Journal for Analysis and Applications, 18, (3) (1999), 785-792.
220. A new convergence theorem for Newton-like methods in Banach space and applications, Comput. Appl. Math., 18, 3 (1999), 343-353
221. A new convergence theorem for inexact Newton methods based on assumptions involving the second Frechet-derivative, Computers and Mathematics with Applications, 37 (1999), 109-115.
222. The Halley-Werner method in Banach spaces and the Ptak error estimates, Bulletin Hong-Kong Math. Soc. BHKMS, Vol. 2 (1999), 357-371.
223. Concerning the radius of convergence of Newton's method and applications, Korean J. Comp. Appl. Math., Vol. 6, No. 3 (1999), 451-462.
224. Relations between forcing sequences and inexact-Newton-like iterates in Banach space, Intern. J. Comp. Math., 71 (1999), 235-246.
225. On the applicability of two Newton methods for solving equations in Banach space, Korean J. Comp. Appl. Math., Vol. 6, No. 2 (1999), 267-275; Math. Rev. AMS Annual Author Index 1999.
226. Affine invariant local convergence theorems for inexact Newton-like methods, Korean J. Comp. Appl. Math., Vol. 6, No. 2 (1999), 291-304; Math. Rev. AMS Annual Author Index 1999,
227. A convergence analysis for Newton-like methods in Banach space under weak hypotheses and applications, Tamkang J. Math., Vol. 30, No. 4 (1999), 253-261.
228. An error analysis for the midpoint method, Tamkang J. Math., Vol. 30, No. 2 (1999), 71-83.
229. Approximating solutions of operator equations using modified contractions and applications, Studia Scientiarum Mathematicarum Hungarica, 35 (1999), 207-215.
230. Convergence results for a fast iterative method in linear spaces, Taiwanese J. Math. 3, (1999), 323-338.
231. A generalization of Ostrowski's theorem on fixed points, Appl. Math. Letters, 12 (1999), 77-79.
232. A new Kantorovich-type theorem for Newton's method, Applicationes Mathematicae, 26, 2 (1999), 151-157.
233. A monotone convergence theorem for Newton-like methods using divided differences of order two, Southwest J. Pure Appl. Math., 1 (1999).
234. On the convergence of Newton's method for polynomial equations and applications in radiative transfer, Monatschefte fur Mathematik, 27 (1999), 265-276.
235. On the convergence of Steffensen-Aitken-like methods using divided differences obtained recursively, Rev. Anal. Numer. Theor. Approx., 28, 2 (1999), 109-117.
236. Local and global convergence results for a class of Steffensen-Aitken-type methods, Adv. Nonlinear Var. Ineq., 2, 2 (1999), 117-126.
237. Relations between forcing sequences and inexact Newton iterates in Banach space, Computing, 63 (1999), 131-144.
238. A new convergence theorem for the method of tangent hyperbolas in Banach space, Proyecciones, 18, 1 (1999), 1-11.
239. Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Frechet-derivative, Applicationes Mathematicae, 26, 4 (1999), 457-465.
240. Convergence theorems for some variants of Newton's method of order greater than two, Punjab. Univ. J. Math., XXXII (1999), 93-98.
241. Accessibility of solutions of equations on Banach spaces by a Stirling-like method, Rev. Acad. de Ciencias Zaragoza, 54 (1999), 93-98.
242. Newton methods on Banach spaces with a convergence structure and applications, Computers and Math. with Appl. Intern. J., Pergamon Press, 40, 1 (2000), 37-48.
243. Accessibility of solutions of equations on Banach spaces by Newton-like methods and applications, Bulletin Inst. Math. Acad. Sinica, Vol. 28, No. 1 (2000), 9-20.
244. Forcing sequences and inexact Newton iterates in Banach space, Appl. Math. Letters, 13 (2000), 77-80.
245. Choosing the forcing sequences for inexact Newton methods in Banach space, Comput. Appl. Math., 19, 1 (2000), 79-89.
246. Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure, Adv. Nonlinear Var. Inequal, 3, 1 (2000), 23-35.
247. On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term, Adv. Nonlinear Var. Inequal., 3, 1 (2000), 15-21.
248. A mesh independence principle for perturbed Newton-like methods and their discretizations, Korean J. Comp. Appl. Math., 7, 1 (2000), 139-159.