Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems

被引：0
|
作者：
Zhangsong Yao
Yeong-Cheng Liou
Li-Jun Zhu
Ching-Hua Lo
Chen-Chang Wu
机构：
[1] Nanjing Xiaozhuang University,School of Information Engineering
[2] Cheng Shiu University,Department of Information Management
[3] Kaohsiung Medical University,Center for General Education
[4] Beifang University of Nationalities,School of Mathematics and Information Science
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
nonexpansive mapping; equilibrium problem; fixed point; variational inequality; 49J30; 47H09; 47H20;
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摘要：
In this paper, we first introduce an iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem, and the solution set of the variational inequality problem for a monotone mapping in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets under some mild conditions.
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