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Book Cover
Author Berinde, Vasile, 1955-

Title Iterative approximation of fixed points / Vasile Berinde
Edition Second revised and enlarged edition
Published Berlin ; New York : Springer, [2007]
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Description 1 online resource (xv, 322 pages)
Series Lecture notes in mathematics, 0075-8434 ; 1912
Lecture notes in mathematics (Springer-Verlag) ; 1912
Contents Pre-requisites of fixed points -- The Picard iteration -- The Krasnoselskij iteration -- The Mann iteration -- The Ishikawa iteration -- Other fixed point iteration procedures -- Stability of fixed point iteration procedures -- Iterative solution of nonlinear operator equations -- Error analysis of fixed point iteration procedures
Summary "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."--Jacket
Notes "Originally (1st edition) published by Editura Efemeride, Baia Mare, Romania, 2002"--Title page verso
Revised thesis (doctoral) - Universitatea Babes-Bolyai, Cluj-Napoca
Bibliography Includes bibliographical references (pages 221-304) and indexes
Notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL
Print version record
Subject Fixed point theory.
Iterative methods (Mathematics)
Fixed point theory -- Bibliography.
Iterative methods (Mathematics) -- Bibliography.
Genre/Form Bibliography.
Form Electronic book
LC no. 2007925692
ISBN 3540722335 (Paper)
9783540722335 (Paper)