A PARALLEL HYBRID METHOD FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGS IN HILBERT SPACE

被引：19

作者：

Dang Van Hieu ^{[1
]}

机构：

[1] Hanoi Univ Sci, Dept Math, Hanoi, Vietnam

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 02期

关键词：

hybrid method; equilibrium problem; variational inequality; parallel computation; FIXED-POINT PROBLEMS; ILL-POSED EQUATIONS; STRONG-CONVERGENCE; KACZMARZ METHODS; REGULARIZING SYSTEMS; MONOTONE MAPPINGS; THEOREMS;

D O I：

10.4134/JKMS.2015.52.2.373

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a finite family of nonexpansive mappings in Hilbert space. Strong convergence theorem is proved for the sequence generated by the scheme. Finally, a parallel iterative algorithm for two finite families of variational inequalities and nonexpansive mappings is established.

引用

页码：373 / 388

页数：16

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