MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR A FAMILY OF PSEUDOMONOTONE EQUILIBRIUM PROBLEMS IN REAL A HILBERT SPACE

被引：0
|
作者：
Rehman, Habib Ur [1 ]
Pakkaranang, Nuttapol [1 ]
Kumam, Poom [1 ,2 ]
Cho, Yeol Je [3 ,4 ]
机构：
[1] King Mongkuts Univ Technol Thonburi KMUTT, KMUTTFixed Point Res Lab, KMUTT Fixed Point Theory & Applicat Res Grp, SCL 802 Fixed Point Lab,Dept Math,Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[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
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 09期
关键词：
Equilibrium problems; subgradient extragradient method; weak convergence theorem; Lipschitz-type condition; variational inequality problems; ALGORITHM; CONVERGENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we proposed a modified subgradient extragradient method for dealing with pseudomonotone equilibrium problems involving Lipschitz-type condition on a cost bifunction in a real Hilbert space. The weak convergence theorem for the method is precisely provided based on the standard assumptions on the cost bifunction. For a numerical experiment, we consider the well-known Nash-Cournot oligopolistic equilibrium models and other examples to support our established convergence results.
引用
收藏
页码：2011 / 2025
页数：15
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