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

Jinhua Zhu | Zendy; Shih-sen Chang | Zendy

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

Author(s) -

Jinhua Zhu,

Shih-sen Chang

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/595263

Subject(s) - banach space , convergence (economics) , fixed point , mathematics , set (abstract data type) , regular polygon , convex function , property (philosophy) , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , economics , programming language , economic growth , philosophy , epistemology

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--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.

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