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A New Hybrid Algorithm for a System of Generalized Mixed Equilibrium Problems and Fixed Point of Quasi-φ-Asymptotically Nonexpansive Mappings.

Authors :
Jinhua Zhu
Shih-Sen Chang
Source :
ISRN Mathematical Analysis. 2011, Special section p1-18. 18p.
Publication Year :
2011

Abstract

The purpose of this paper is to use a new hybrid algorithm for finding a common element of the set of solutions for a system of generalized mixed equilibrium problems and the set of common fixed points for an infinite family of quasi-φ-asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20904657
Database :
Academic Search Index
Journal :
ISRN Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
66003226
Full Text :
https://doi.org/10.5402/2011/595263