Strong convergence of inertial subgradient extragradient algorithm for solving pseudomonotone equilibrium problems

被引：8

作者：

Thong, Duong Viet ^{[1
]}

Cholamjiak, Prasit ^{[2
]}

Rassias, Michael T. ^{[3
]}

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

机构：

[1] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam

[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[3] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

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

[5] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

来源：

OPTIMIZATION LETTERS | 2022年 / 16卷 / 02期

关键词：

Pseudomonotonicity; Lipchitz-type continuity; Equilibrium problem; Subgradient extragradient method; Inertial effect; R-linear convergence rate; VARIATIONAL INEQUALITY; PROXIMAL METHOD; LINESEARCH;

D O I：

10.1007/s11590-021-01734-z

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 propose a new modified subgradient extragradient method for solving equilibrium problems involving pseudomonotone and Lipchitz-type bifunctions in Hilbert spaces. We establish the strong convergence of the proposed method under several suitable conditions. In addition, the linear convergence is obained under strong pseudomonotonicity assumption. Our results generalize and extend some related results in the literature. Finally, we provide numerical experiments to illustrate the performance of the proposed algorithm.

引用

页码：545 / 573

页数：29

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