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.
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页码：269 / 294
页数：26
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