ENGLISH

Iterative Approximation of Fixed Points

By Vasile Berinde (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
3540722335, 9783540722335
DOI
10.1007/978-3-540-72234-2
ISSN
0075-8434
Open Library ID
OL13573170M
Language
english
Format
PDF
Filesize
2 MB (2100759 bytes)
Series
Lecture Notes in Mathematics 1912
Edition
2
Pages
326\337
Library
Kolxo3
Time added
2009-07-20 03:45:11
Operator Theory; Numerical Analysis; Topology

Description

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.

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