An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

作者:Yao Yonghong; Liou Yeong Cheng*; Wu Yuh Jenn
来源:Fixed Point Theory and Applications, 2009, 2009(1): 632819.
DOI:10.1155/2009/632819

摘要

The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium problems and the fixed point problems. Subsequently, we prove the strong convergence of the proposed algorithm under some mild assumptions.