Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces

被引：4
|
作者：
Xie, Zhongbing [1 ]
Cai, Gang [1 ]
Dong, Qiao-Li [2 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Civil Aviat Univ China, Tianjin Key Lab Adv Signal Proc & Coll Sci, Tianjin 300300, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2023年 / 93卷 / 01期
关键词：
Banach space; Bregman projection; Pseudomonotone operator; Strong convergence; Variational inequality; FIXED-POINT; EXTRAGRADIENT ALGORITHM;
D O I：
10.1007/s11075-022-01414-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to introduce a new projection method for solving pseudomonotone variational inequality problems in real reflexive Banach spaces. The main algorithm is based on the self-adaptive method, subgradient extragradient method and Bregman projection method. Under some appropriate assumptions imposed on the parameters, we prove a strong convergence theorem of the proposed algorithm. Finally, several numerical examples are given to show that our method has better convergence performance than the known results in the literatures.
引用
收藏
页码：269 / 294
页数：26
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