Accelerated hybrid and shrinking projection methods for variational inequality problems

被引：13

作者：

Thong Duong Viet ^{[1
]}

Nguyen The Vinh ^{[2
]}

Dang Van Hieu ^{[3
]}

机构：

[1] Natl Econ Univ, Fac Econ Math, Hanoi, Vietnam

[2] Univ Transport & Commun, Dept Math, Hanoi, Vietnam

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

来源：

OPTIMIZATION | 2019年 / 68卷 / 05期

关键词：

Variational inequality problem; subgradient extragradient method; inertial method; Tseng's extragradient method; hybrid projection method; shrinking projection method; STRONG-CONVERGENCE THEOREMS; SUBGRADIENT EXTRAGRADIENT METHOD; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; GRADIENT METHODS; ALGORITHM; WEAK;

D O I：

10.1080/02331934.2019.1566825

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：

In this paper, we introduce several new extragradient-like approximation methods for solving variational inequalities in Hilbert spaces. Our algorithms are based on Tseng's extragradient method, subgradient extragradient method, inertial method, hybrid projection method and shrinking projection method. Strong convergence theorems are established under appropriate conditions. Our results extend and improve some related results in the literature. In addition, the efficiency of our algorithms is shown through numerical examples which are defined by the hybrid projection methods.

引用

页码：981 / 998

页数：18

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