Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

被引：55

作者：

Duong Viet Thong ^{[1
]}

Phan Tu Vuong ^{[2
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

[2] Univ Vienna, Fac Math, Vienna, Austria

来源：

OPTIMIZATION | 2019年 / 68卷 / 11期

基金：

奥地利科学基金会;

关键词：

Forward-Backward-Forward method; extragradient method; Mann-type method; variational inequality; pseudo-monotone operator; WEAK-CONVERGENCE; PROJECTION METHOD; POINT; ALGORITHMS;

D O I：

10.1080/02331934.2019.1616191

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We propose two modified Tseng's extragradient methods (also known as Forward-Backward-Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented

引用

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页码：2203 / 2222

页数：20

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