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.
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页数：16
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