An improved algorithm with Armijo line-search rule for solving pseudomonotone variational inequality problems in Banach spaces

被引：2

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：

ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 05期

关键词：

Banach space; Pseudomonotone operator; Strong convergence; Subgradient extragradient method; Variational inequality; SUBGRADIENT EXTRAGRADIENT METHOD; GENERALIZED PROJECTION OPERATORS; STRONG-CONVERGENCE; ITERATIVE ALGORITHMS; COMMON SOLUTIONS;

D O I：

10.1007/s13324-022-00726-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to introduce a new subgradient extragradient algorithm for solving variational inequality problems involving pseudomonotone and uniformly continuous operator in Banach spaces. Moreover, we prove a strong convergence theorem by constructing a new line-search rule. At the same time, several numerical experimental results are given to demonstrate the performance of our proposed algorithm.

引用

页数：22

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