Strong convergence algorithm for approximating the common solutions of a variational inequality, a mixed equilibrium problem and a hierarchical fixed-point problem

被引：7

作者：

Bnouhachem, Abdellah ^{[1
,2
]}

机构：

[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Jiangsu, Peoples R China

[2] Ibn Zohr Univ, ENSA, Agadir, Morocco

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

mixed equilibrium problem; variational inequality problem; hierarchical fixed-point problem; projection method; GENERAL ITERATIVE METHOD; STRICT PSEUDO-CONTRACTIONS;

D O I：

10.1186/1029-242X-2014-154

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the common set of solutions of a variational inequality, a mixed equilibrium problem, and a hierarchical fixed-point problem in a Hilbert space. A numerical method is proposed to find the approximate element of this common set. The strong convergence of this method is proved under some conditions. The proposed method is shown to be an improvement and extension of some known results.

引用

页数：24

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