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Catalogue Information
Field name	Details
Dewey Class	519.6
Title	Iterative methods for fixed point problems in Hilbert spaces (EB) / by Andrzej Cegielski.
Author	Cegielski, Andrzej , 1953-
Other name(s)	SpringerLink (Online service)
Publication	Berlin : Springer-Verlag , 2013
Physical Details	1 online resource (XVI, 298 pages, 61 illus., 3 illus. in color)
Series	Lecture Notes in Mathematics ; 2057
ISBN	978-3-642-30901-4
Summary Note	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:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in HTML format.
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-30901-4
Links to Related Works	Subject References: Functional analysis. Fixed point theory . Hilbert space . Mathematical optimization . Operator Theory . Authors: Cegielski, Andrzej 1953- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519.6 . 519.6 (DDC 23) .

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Iterative methods for fixed point problems in Hilbert spaces

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