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.
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页码：457 / 478
页数：22
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