PARALLEL EXTRAGRADIENT ALGORITHMS FOR A FAMILY OF PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF NONSELF-NONEXPANSIVE MAPPINGS IN HILBERT SPACE

被引：4

作者：

Wang, Lu ^{[1
]}

Yu, Lanxiang ^{[1
]}

Li, Tian ^{[2
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China

[2] North China Elect Power Univ, Dept Comp Sci, Baoding 071003, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2020年 / 2020卷

关键词：

Pseudomonotone equilibrium problem; Parallel algorithm; Halpern iteration; Nonexpansive mapping; CONVERGENCE THEOREMS;

D O I：

10.23952/jnfa.2020.13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce some iterative algorithms to find common elements in the solution set of a family of pseudomonotone equilibrium problems and the fixed point set of a family of nonself-nonexpansive mappings on the different subsets of a Hilbert space. The strong convergence of these algorithms are obtained. Finally, a numerical example is given to illustrate the main results of this paper.

引用

页数：16

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