An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

被引：0
|
作者：
Yonghong Yao
Yeong-Cheng Liou
Yuh-Jenn Wu
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
[2] Cheng Shiu University,Department of Information Management
[3] Chung Yuan Christian University,Department of Applied Mathematics
来源：
Fixed Point Theory and Applications | / 2009卷
关键词：
Iterative Algorithm; Equilibrium Problem; Nonexpansive Mapping; Strong Convergence; Real Hilbert Space;
D O I：
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学科分类号：
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.
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