ENGLISH

Iterative Methods for Fixed Point Problems in Hilbert Spaces

By Andrzej Cegielski (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
ISBN
978-3-642-30900-7, 978-3-642-30901-4
DOI
10.1007/978-3-642-30901-4
Language
english
Format
PDF
Filesize
3 MB (3286103 bytes)
Series
Lecture Notes in Mathematics 2057
Edition
1
Pages
298\311
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Optimization; Functional Analysis; Calculus of Var

Description

Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems.

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