A HYBRID METHOD FOR A SYSTEM INVOLVING EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND NONEXPANSIVE SEMIGROUP

被引：1

作者：

Le Quang Thuy ^{[1
]}

Le Dung Muu ^{[2
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet Rd, Hanoi, Vietnam

[2] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam

来源：

KOREAN JOURNAL OF MATHEMATICS | 2015年 / 23卷 / 03期

关键词：

fixed point; variational inequality; equilibrium problems; nonexpansive mapping; pseudomonotonicity; semigroup;

D O I：

10.11568/kjm.2015.23.3.457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solution-sets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroup-nonexpensive mappings in Hilbert spaces. The method is a combination of projection, extragradient-Armijo algorithms and Manns method. We obtain a strong convergence for the sequences generated by the proposed method.

引用

页码：457 / 478

页数：22

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