A Novel Method for Finding Minimum-norm Solutions to Pseudomonotone Variational Inequalities

被引：0
|
作者：
Duong Viet Thong
Pham Ky Anh
Vu Tien Dung
Do Thi My Linh
机构：
[1] Thu Dau Mot University,Division of Applied Mathematics
[2] Vietnam National University,Department of Mathematics, University of Science
[3] Hanoi University of Industry,Faculty of Fundamental Science
来源：
Networks and Spatial Economics | 2023年 / 23卷
关键词：
Subgradient extragradient method; Variational inequality problem; Pseudomonotone operator; Strong convergence; Convergence rate; 47H09; 47J20; 65K15; 90C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a novel iterative method for finding the minimum-norm solution to a pseudomonotone variational inequality problem in Hilbert spaces. We establish strong convergence of the proposed method and its linear convergence under some suitable assumptions. Some numerical experiments are given to illustrate the performance of our method. Our result improves and extends some existing results in the literature.
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页码：39 / 64
页数：25
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