Convergence Theorems of a General Composite Iterative Method for Nonexpansive Semigroups in Banach Spaces

Convergence Theorems of a General Composite Iterative Method for Nonexpansive Semigroups in Banach Spaces

We introduce a general composite iterative scheme for nonexpansive semigroups in Banach spaces. We establish some strong convergence theorems of the general iteration scheme under different control conditions. The results presented in this paper improve and extend the corresponding results of Marino...

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Veröffentlicht in:ISRN mathematical analysis 2011-01, Vol.2011 (2011), p.1-24
Hauptverfasser: Sunthrayuth, Pongsakorn, Wattanawitoon, Kriengsak, Kumam, Poom
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Banach spaces
Convergence
Hilbert space
Inequality
Iterative methods
Optimization
Studies
Theorems
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Zusammenfassung:We introduce a general composite iterative scheme for nonexpansive semigroups in Banach spaces. We establish some strong convergence theorems of the general iteration scheme under different control conditions. The results presented in this paper improve and extend the corresponding results of Marino and Xu (2006), and others, from Hilbert spaces to Banach spaces.
ISSN:2090-4657
2090-4665
DOI:10.5402/2011/576135