Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems

Abstract

In this paper, we introduce a hybrid iterative method for finding a common element of the set of common solutions of generalized mixed equilibrium problems and the set of common fixed points of an finite family of nonexpansive mappings. Furthermore, we show a strong convergence theorem under some mild conditions.

In this paper, we introduce a hybrid iterative method for finding a common element of the set of common solutions of generalized mixed equilibrium problems and the set of common fixed points of an finite family of nonexpansive mappings. Furthermore, we show a strong convergence theorem under some mild conditions.

Keywords

Generalized Mixed Equilibrium Problem, Hybrid Iterative Scheme, Fixed Point, Nonexpansive Mapping, Strong Convergence

Generalized Mixed Equilibrium Problem, Hybrid Iterative Scheme, Fixed Point, Nonexpansive Mapping, Strong Convergence

Cite this paper

nullL. Chen and J. Huang, "Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems,"*Applied Mathematics*, Vol. 2 No. 10, 2011, pp. 1213-1220. doi: 10.4236/am.2011.210169.

nullL. Chen and J. Huang, "Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems,"

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