Modified Tseng's extragradient algorithms for variational inequality problems

被引：52

作者：

Duong Viet Thong ^{[1
]}

Dang Van Hieu ^{[2
]}

机构：

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

[2] Coll Air Force, Dept Math, Nha Trang, Vietnam

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 04期

关键词：

Tseng's extragradient method; projection method; variational inequality problem; monotone operator; MAXIMAL MONOTONE-OPERATORS; PROXIMAL POINT ALGORITHM; STRONG-CONVERGENCE; APPROXIMATION METHODS; GRADIENT METHODS; HYBRID METHOD; FIXED-POINTS; STEP; WEAK;

D O I：

10.1007/s11784-018-0634-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, our interest is in investigating the monotone variational inequality problems in the framework of real Hilbert spaces. For solving this problem, we introduce two modified Tseng's extragradient methods using the inertial technique. The weak convergence theorems are established under the standard assumptions imposed on cost operators. Finally, numerical results are reported to illustrate the behavior of the new algorithms and also to compare with others.

引用

页数：18

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