CONVERGENCE OF SUBGRADIENT METHODS FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

被引：0
|
作者：
Zhao, Xiaopeng [1 ]
Ji, Huijuan [1 ]
Yao, Yonghong [1 ,2 ]
机构：
[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] Kyung Hee Univ, Ctr Adv Informat Technol, Seoul 02447, South Korea
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 02期
关键词：
Pseudomonotone variational inequality; pseudomonotone equilibrium problem; subgradient method; projection; EXTRAGRADIENT METHOD; ALGORITHMS; OPERATORS;
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 inquire into iterative methods for solving pseudomonotone variational inequalities and pseudomonotone equilibrium problems in Hilbert spaces. We propose an iterative algorithm which combines subgradient method with linear search method for solving the investigated problems. We show that the sequence generated by the algorithm converges strongly to a common solution of the pseudomonotone variational inequality and the pseudomonotone equilibrium problem under some weaker conditions.
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页码：241 / 251
页数：11
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