A new self adaptive Tseng's extragradient method with double-projection for solving pseudomonotone variational inequality problems in Hilbert spaces

被引：0

作者：

Xie, Zhongbing ^{[1
]}

Cai, Gang ^{[1
]}

Li, Xiaoxiao ^{[2
]}

Dong, Qiao-Li ^{[2
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 02期

关键词：

inertial method; pseudomonotone operator; strong convergence; Tseng's extragradient method; variational inequality; ALGORITHM;

D O I：

10.1515/ijnsns-2021-0028

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The purpose of this paper is to study a new Tseng's extragradient method with two different stepsize rules for solving pseudomonotone variational inequalities in real Hilbert spaces. We prove a strong convergence theorem of the proposed algorithm under some suitable conditions imposed on the parameters. Moreover, we also give some numerical experiments to demonstrate the performance of our algorithm.

引用

页码：539 / 554

页数：16

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