Strong convergence theorem for a new Bregman extragradient method with a different line-search process for solving variational inequality problems in reflexive Banach spaces

被引：0

作者：

Hu, Shaotao ^{[1
,2
]}

Wang, Yuanheng ^{[2
]}

Jing, Ping ^{[3
]}

Dong, Qiao-Li ^{[4
]}

机构：

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

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[3] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

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

来源：

OPTIMIZATION LETTERS | 2024年 / 18卷 / 03期

关键词：

Extragradient method; Variational inequality; Pseudomonotone operator; Strong convergence; Banach spaces; INERTIAL PROJECTION; ITERATIVE ALGORITHMS;

D O I：

10.1007/s11590-023-02019-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce a new Bregman extragradient method with a different line-search process for solving variational inequality problems in reflexive Banach spaces. Precisely, we prove that the sequence generated by our proposed iterative algorithm converges strongly to an element of the solution sets of variational inequality problems. Moreover, some numerical examples are given to show the effectiveness of the proposed algorithm. The results obtained in this paper extend and improve many recent ones in the literature.

引用

页码：783 / 801

页数：19

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