Iterative methods for fixed point problems in Hilbert spaces / Andrzej Cegielski
Type de document : MonographieCollection : Lecture notes in mathematics, 2057Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2012Description : 1 vol. (XVI-298 p.) : fig. ; 24 cmISBN: 9783642309007.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 275-289. Index.Sujet MSC : 47-02, Research exposition (monographs, survey articles) pertaining to operator theory47J25, Operator theory, Iterative procedures involving nonlinear operators
47H09, Operator theory - Nonlinear operators and their properties, Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
47H10, Operator theory - Nonlinear operators and their properties, Fixed-point theorems
54H25, Connections of general topology with other structures, applications, Fixed-point and coincidence theoremsEn-ligne : Springerlink | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 47 CEG (Browse shelf(Opens below)) | Available | 12213-01 |
Bibliogr. p. 275-289. Index
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. (Source : Springer)
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