TITLE:
Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems
AUTHORS:
Lijun Chen, Jianhua Huang
KEYWORDS:
Generalized Mixed Equilibrium Problem, Hybrid Iterative Scheme, Fixed Point, Nonexpansive Mapping, Strong Convergence
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.10,
October
11,
2011
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.