Parallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems

被引：54

作者：

Anh P.K. ^{[1
]}

Van Hieu D. ^{[1
]}

机构：

[1] Hanoi University of Science, Vietnam National University, 334 Nguyen Trai, Hanoi, Thanh Xuan

来源：

Vietnam Journal of Mathematics | 2016年 / 44卷 / 2期

关键词：

Asymptotically quasi ϕ-nonexpansive mapping; Equilibrium problem; Hybrid method; Parallel computation; Variational inequality;

D O I：

10.1007/s10013-015-0129-z

中图分类号：

学科分类号：

摘要：

In this paper, we propose two strongly convergent parallel hybrid iterative methods for finding a common element of the set of fixed points of a family of asymptotically quasi ϕ-nonexpansive mappings, the set of solutions of variational inequalities and the set of solutions of equilibrium problems in uniformly smooth and 2-uniformly convex Banach spaces. A numerical experiment is given to verify the efficiency of the proposed parallel algorithms. © 2015, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

引用

页码：351 / 374

页数：23

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