EXTRAGRADIENT ALGORITHMS FOR SPLIT PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES

被引：3

作者：

Wang, Shenghua ^{[1
]}

Zhang, Yifan ^{[1
]}

Wang, Wenxin ^{[1
]}

Guo, Haichao ^{[2
]}

机构：

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

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

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年 / 2019卷

关键词：

Split equilibrium problem; Pseudomonotone equilibrium problem; Equilibrium problem; Split feasible problem; STRONG-CONVERGENCE THEOREM; FEASIBILITY PROBLEMS; SEQUENCE; WEAK;

D O I：

10.23952/jnfa.2019.26

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose some extragradient iterative algorithms to find a common solution for split pseudomonotone equilibrium problems and the fixed point problems of nonself nonexpansive mappings and prove the weak and strong convergence of the proposed algorithms in Hilbert spaces. A numerical example in an infinite dimensional space is given to illustrate our main convergence theorems.

引用

页数：19

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