AN EXTRAGRADIENT ALGORITHM FOR STRONGLY PSEUDOMONOTONE EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

被引：0

作者：

Khammahawong, Konrawut ^{[1
,2
]}

Kumam, Poom ^{[1
,2
,3
]}

Chaipunya, Parin ^{[1
,2
,3
]}

Yao, Jen-Chih ^{[4
]}

Wen, Ching-Feng ^{[5
,6
]}

Jirakitpuwapat, Wachirapong ^{[1
,2
]}

机构：

[1] KMUTT, Dept Math, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] KMUTT, Fac Sci, KMUTTFixed Point Res Lab, KMUTT Fixed Point Theory & ApplicationsRes Grp, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] KMUTT, Ctr Excellence Theoret & Computat Sci TaCSCoE, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[4] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan

[5] Kaohsiung Med Univ, Ctr Fundamental Sci, 100 Shih Chuan 1st Rd, Kaohsiung 80708, Taiwan

[6] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, 100 Shih Chuan 1st Rd, Kaohsiung 80708, Taiwan

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 01期

关键词：

Equilibrium problems; Extragradient algorithm; Hadamard manifold; Lipschitz-type bifunction; Proximal-like algorithm Strongly pseudomonotone; AUXILIARY PROBLEM PRINCIPLE; PROXIMAL POINT ALGORITHM; INEQUALITIES; CONVERGENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce two extragradient algorithms for solving equilibrium problems in Hadamard manifolds. Furthermore, we prove that any sequence generated by the proposed algorithms converge to a solution of the equilibrium problems under suitable assumptions. A numerical experiment of the proposed algorithms are provided to support our convergence results.

引用

页码：350 / 371

页数：22

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