Iterative Approximation of Fixed Points Paperback - 2007
by Vasile Berinde
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- Paperback
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Details
- Title Iterative Approximation of Fixed Points
- Author Vasile Berinde
- Binding Paperback
- Edition 2nd rev. and enl
- Condition New
- Pages 326
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2007-05-16
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- Bookseller's Inventory # ria9783540722335_inp
- ISBN 9783540722335 / 3540722335
- Weight 1.13 lbs (0.51 kg)
- Dimensions 9.28 x 6.56 x 0.78 in (23.57 x 16.66 x 1.98 cm)
- Category Mathematics
- Dewey Decimal Code 515
- Quantity available 388
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From the publisher
From the rear cover
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.
