Iterative Methods for Fixed Point Problems in Hilbert Spaces

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 gener...

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Autore principale: Cegielski, Andrzej, 1953-
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edizione:1st ed. 2013.
Serie:Lecture Notes in Mathematics 2057
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Nota: L'impression du document génère 311 p.
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Edition sous un autre format:• Iterative methods for fixed point problems in Hilbert spaces, Andrzej Cegielski, Heidelberg, Springer, 2012, 1 vol. (XVI-298 p.), Lecture notes in mathematics, 978-3-642-30900-7
• Iterative Methods for Fixed Point Problems in Hilbert Spaces, Texte imprimé, 9783642309021
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Riassunto: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
Descrizione del documento:L'impression du document génère 311 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9783642309014
ISSN:1617-9692
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