ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

- Journal title : Communications of the Korean Mathematical Society
- Volume 26, Issue 1, 2011, pp.51-65
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2011.26.1.051

Title & Authors

ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

Cho, Sun-Young; Kang, Shin-Min; Qin, Xiaolong;

Cho, Sun-Young; Kang, Shin-Min; Qin, Xiaolong;

Abstract

In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common xed point of a pair of nonexpansive mappings.

Keywords

equilibrium problem;nonexpansive mapping;inverse-strongly monotone mapping;contractive mapping;

Language

English

Cited by

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