Modified Extragradient Method for Pseudomonotone Variational Inequalities in Infinite Dimensional Hilbert Spaces

被引：34
|
作者：
Van Hieu, Dang [1 ]
Cho, Yeol Je [2 ,3 ]
Xiao, Yi-Bin [2 ]
Kumam, Poom [4 ]
机构：
[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand
来源：
VIETNAM JOURNAL OF MATHEMATICS | 2021年 / 49卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Variational inequality; Pseudomonotone operator; Projection method; Lipschitz condition; ITERATIVE METHODS; WEAK-CONVERGENCE; GRADIENT METHODS; SYSTEMS;
D O I：
10.1007/s10013-020-00447-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the weak convergence of a modified extragradient algorithm for solving a variational inequality problem involving a pseudomonotone operator in an infinite dimensional Hilbert space. Moreover, we establish further theR-linear rate of the convergence of the proposed algorithm with the assumption of error bound. Several numerical experiments are performed to illustrate the convergence behaviour of the new algorithm in comparisons with others. The results obtained in the paper have extended some recent results in the literature.
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页码：1165 / 1183
页数：19
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