Strong convergence theorems for a generalized mixed equilibrium problem and variational inequality problems

被引：0
|
作者：
Jae Ug Jeong
机构：
[1] Dongeui University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
fixed point; inverse strongly monotone mapping; variational inequality; equilibrium problem;
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摘要：
In this paper, a new iterative scheme based on the extragradient-like method for finding a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a strongly positive linear bounded operator and the set of solutions of a mixed equilibrium problem is proposed. A strong convergence theorem for this iterative scheme in Hilbert spaces is established. Our results extend recent results announced by many others.
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