Modified extragradient algorithms for solving equilibrium problems

被引：78

作者：

Dang Van Hieu ^{[1
]}

Cho, Yeol Je ^{[2
,3
,4
]}

Xiao, Yi-bin ^{[4
]}

机构：

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

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

[3] Gyeongsang Natl Univ, RINS, Jinju, South Korea

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

来源：

OPTIMIZATION | 2018年 / 67卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Extragradient method; equilibrium problem; pseudomonotone bifunction; Lipschitz-type condition; INERTIAL PROXIMAL METHOD; CONVERGENCE; INEQUALITIES;

D O I：

10.1080/02331934.2018.1505886

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 some new algorithms for solving the equilibrium problem in a Hilbert space which are constructed around the proximal-like mapping and inertial effect. Also, some convergence theorems of the algorithms are established under mild conditions. Finally, several experiments are performed to show the computational efficiency and the advantage of the proposed algorithm over other well-known algorithms.

引用

页码：2003 / 2029

页数：27

共 34 条

[1] An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping [J].