MODIFIED INERTIAL METHODS FOR FINDING COMMON SOLUTIONS TO VARIATIONAL INEQUALITY PROBLEMS

被引：4

作者：

Shehu, Yekini ^{[1
]}

Iyiola, Olaniyi S. ^{[2
]}

Akaligwo, Emmanuel ^{[1
]}

机构：

[1] Univ Nigeria, Dept Math, Nsukka, Nigeria

[2] Minnesota State Univ Moorhead, Dept Math, Moorhead, MN USA

来源：

FIXED POINT THEORY | 2019年 / 20卷 / 02期

关键词：

Variational inequality; monotone operator; inertial terms; weak convergence; Hilbert spaces; STRONG-CONVERGENCE; MONOTONE-OPERATORS; ALGORITHM;

D O I：

10.24193/fpt-ro.2019.2.45

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is our aim in this paper to propose modified inertial versions of both subgradient extragradient method and the extragradient method for solving common solutions to variational inequality problems involving monotone and Lipschitz continuous operators and obtain weak convergence results in real Hilbert spaces. We give several numerical illustrations of our proposed methods and give numerical comparisons of our methods with subgradient extragradient and extragradient methods.

引用

页码：683 / 702

页数：20

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