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

Journal of inequalities and applications

Zhangsong Yao¹ 

关键词: nonexpansive mapping;    equilibrium problem;    fixed point;    variational inequality;    49J30;    47H09;    47H20;   

DOI  :  10.1186/s13660-015-0720-6

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY