A New Hybrid Algorithm for a System of Generalized Mixed Equilibrium Problems and Fixed Point of Quasi-ϕ-Asymptotically Nonexpansive Mappings. (22nd June 2011)

• Record Type: Journal Article
• Authors: Zhu, Jinhua; Chang, Shih-Sen
• Other Names: Deng S. Academic Editor.; Lurie K. A. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2011(2011)
• Publication Date: 2011-06-22
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.5402/2011/595263
• Languages: English
• ISSNs: 2090-4657

Abstract

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.