Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

被引：107
|
作者：
Dang Van Hieu [1 ]
Le Dung Muu [2 ]
Pham Ky Anh [1 ]
机构：
[1] Vietnam Natl Univ, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam
[2] VAST, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam
来源：
NUMERICAL ALGORITHMS | 2016年 / 73卷 / 01期
关键词：
Equilibrium problem; Pseudomonotone bifunction; Lipschitz-type continuity; Nonexpansive mapping; Hybrid method; Parallel computation; FIXED-POINTS; APPROXIMATION; CONVERGENCE;
D O I：
10.1007/s11075-015-0092-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real Hilbert space. Based on parallel computation we can reduce the overall computational effort under widely used conditions on the bifunctions and the nonexpansive mappings. A simple numerical example is given to illustrate the proposed parallel algorithms.
引用
收藏
页码：197 / 217
页数：21
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