Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point

Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Ba...

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Veröffentlicht in:	Fixed point theory and applications (Hindawi Publishing Corporation) 2010-01, Vol.2010 (1), Article 732872
Hauptverfasser:	Kimura, Yasunori, Nakajo, Kazuhide
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Differential Geometry Mathematical and Computational Biology Mathematics Mathematics and Statistics Research Article Takahashi's Legacy in Fixed Point Theory Topology
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Banach space.
ISSN:	1687-1812 1687-1820 1687-1812
DOI:	10.1155/2010/732872