DOI: 10.3724/SP.J.1160.2013.00367

Acta Analysis Functionalis Applicata (应用泛函分析学报) 2013/15:4 PP.367-374

Strong Convergence Theorems for Equilibrium Problems and Quasi φ-asymptotically Nonexpansive Mappings

A modified hybrid projection iterative algorithm was introduced for finding a common element of the set of solutions of an equilibrium problem and the set of fixed point of a quasi(φ)-asymptotically nonexpansive mappings in a reflexive、strictly convex and smooth Banach space.The strong convergence theorems are proved by using generalized projection operator and the K-K property.The results of this paper improve and extend recent some relative results.

Key words:quasiφ-asymptotically nonexpansive mapping,equilibrium problem,modified hybrid projection iterative algorithm

ReleaseDate:2015-04-21 14:22:15

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