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Iterative Methods for Fixed Point Problems in Hilbert Spaces: 2057 (Lecture Notes in Mathematics, 2057) - Softcover

Cegielski, Andrzej

 
9783642309007: Iterative Methods for Fixed Point Problems in Hilbert Spaces: 2057 (Lecture Notes in Mathematics, 2057)
Softcover
ISBN 10: 3642309003 ISBN 13: 9783642309007
Publisher: Springer, 2012

Synopsis

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2012
Language
English
ISBN 10 
3642309003
ISBN 13 
9783642309007
Binding
Paperback
Number of pages
314