Iterative approximation of fixed points / Vasile Berinde.
Material type:
TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1912.Publication details: Berlin ; New York : Springer, c2007.Edition: 2nd rev. and enl. edDescription: xv, 322 p. ; 24 cmISBN: - 9783540722335 (softcover : alk. paper)
- 3540722335 (softcover : alk. paper)
- 515.7 22
- 518.26 22
- QA329.9 .B47 2007
| Item type | Current library | Call number | Copy number | Status | Barcode | |
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Institute of Mathematics Library | QA329.9.B47 2007 (Browse shelf(Opens below)) | 1 | Available | 3351 |
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| QA329.8.D64 1979 Monotone operators and applications in control and network theory / | QA329.8.S56 1996 Monotone operators in Banach space and nonlinear partial differential equations / | QA329.8.S56 1996 Monotone operators in Banach space and nonlinear partial differential equations / | QA329.9.B47 2007 Iterative approximation of fixed points / | QA331.3.C63 Precalculus | QA331.5.B65 2006 Convex analysis and nonlinear optimization : | QA331.5.B65 2006 Convex analysis and nonlinear optimization : |
"Originally (1st edition) published by Editura Efemeride, Baia Mare, Romania, 2002"--T.p. verso.
Revised thesis (doctoral) - Universitatea Babes-Bolyai, Cluj-Napoca.
Includes bibliographical references (p. [221]-304) and indexes.
"The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard iteration, Krasnoselskij iteration, Mann iteration, Ishikawa iteration etc.), some of the most relevant, interesting, representative and actual convergence theorems. Applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods, are also presented. Due to the explosive number of research papers on the topic (in the last 15 years only, more than one thousand articles related to the subject were published), it was felt that such a monograph was imperatively necessary. The volume is useful for authors, editors, and reviewers. It introduces concrete criteria for evaluating and judging the plethora of published papers."--BOOK JACKET.
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