Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings

Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings

It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2012, Vol.2012 (2012), p.904-920-060
Hauptverfasser: Daman, O. A., Zegeye, Habtu
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Convergence
Convergence (Mathematics)
Fixed point theory
Fixed points (mathematics)
Hilbert space
Inequality
Iterative methods
Mapping
Mappings (Mathematics)
Mathematical analysis
Nonlinearity
Studies
Theorems
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Zusammenfassung:It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.
ISSN:0161-1712
1687-0425
DOI:10.1155/2012/405315