Accelerated Subgradient Extragradient Methods for Variational Inequality Problems

被引：41

作者：

Duong Viet Thong ^{[1
]}

Nguyen The Vinh ^{[2
]}

Cho, Yeol Je ^{[3
,4
,5
]}

机构：

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

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

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[4] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea

[5] Gyeongsang Natl Univ, RINS, Jinju 52828, South Korea

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2019年 / 80卷 / 03期

关键词：

Variational inequality problem; Extragradient method; Subgradient extragradient method; Inertial method; Mann type method; Viscosity method; STRONG-CONVERGENCE; ITERATIVE METHODS; PROJECTION METHOD; GRADIENT METHODS; FIXED-POINTS; ALGORITHMS; SYSTEMS; STEP;

D O I：

10.1007/s10915-019-00984-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two new iterative algorithms for solving monotone variational inequality problems in real Hilbert spaces, which are based on the inertial subgradient extragradient algorithm, the viscosity approximation method and the Mann type method, and prove some strong convergence theorems for the proposed algorithms under suitable conditions. The main results in this paper improve and extend some recent works given by some authors. Finally, the performances and comparisons with some existing methods are presented through several preliminary numerical experiments.

引用

页码：1438 / 1462

页数：25

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