Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups

Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups

We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive mappings to asymptoti...

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2010-01, Vol.2010 (1), Article 301868
Hauptverfasser: Wattanawitoon, Kriengsak, Kumam, Poom
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Research Article
Topology
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Zusammenfassung:We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive mappings to asymptotically nonexpansive mappings.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/2010/301868