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Iterative Methods for Fixed Point Problems in Hilbert Spaces

Name: Iterative Methods for Fixed Point Problems in Hilbert Spaces
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01661382
Price: 51.62 EUR
Availability: InStock
Author: Andrzej Cegielski
ISBN: 9783642309007

Andrzej Cegielski

Language

English

Book Paperback

Libristo code: 01661382

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, September 2012

Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been de... Full description

Libristo code: 01661382

125 b

51.62 €

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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.