Strong convergence theorems for strongly nonexpansive sequences

The aim of this paper is to prove a strong convergence theorem for a pair of sequences of nonexpansive mappings in a Hilbert space, where one of them is a strongly nonexpansive sequence, and provide some applications of the theorem.

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Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics and computation 2011-06, Vol.217 (19), p.7537-7545
Hauptverfasser:	Aoyama, Koji, Kimura, Yasunori
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Convergence Exact sciences and technology Fixed point Functional analysis Global analysis, analysis on manifolds Hilbert space Mapping Mathematical analysis Mathematical models Mathematics Nonexpansive mapping Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Strong convergence Strongly nonexpansive sequence Theorems Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Beschreibung
Zusammenfassung:	The aim of this paper is to prove a strong convergence theorem for a pair of sequences of nonexpansive mappings in a Hilbert space, where one of them is a strongly nonexpansive sequence, and provide some applications of the theorem.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2011.01.092