Iterative approximation of fixed points

＜図書＞
Iterative approximation of fixed points

責任表示	Vasile Berinde
シリーズ	Lecture notes in mathematics ; 1912
データ種別	図書
版	2nd rev. and enl. ed
出版情報	Berlin : Springer , c2007
本文言語	英語
大きさ	xv, 322 p. ; 24 cm
概要	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 mo...t 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.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6977780

一般注記	Originally published: Baia Mare, Romania : Editura Efemeride, 2002 Includes bibliographical references (p. [221]-304) and indexes
著者標目	*Berinde, Vasile, 1955-
書誌ID	1001241696
ISBN	9783540722335
NCID	BA82004732
URL
巻冊次	ISBN:9783540722335 ; XISBN:3540722335
登録日	2009.09.18
更新日	2017.02.18