TWO GENERALIZED STRONG CONVERGENCE ALGORITHMS FOR VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES

被引：0

作者：

Ghadampour, Mostafa ^{[1
]}

Soori, Ebrahim ^{[1
]}

Agarwal, Ravi p. ^{[2
]}

O'regan, Donal ^{[2
]}

机构：

[1] Lorestan Univ, Dept Math, POB 465, Khorramabad, Lorestan, Iran

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

FIXED POINT THEORY | 2024年 / 25卷 / 01期

关键词：

Phrases; Variational inequality; relatively nonexpansive mapping; monotone mapping; asymptotical fixed point; EXTRAGRADIENT METHOD; PROJECTION METHOD; PROXIMAL-TYPE; OPERATORS;

D O I：

10.24193/fpt-ro.2025.1.09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two generalized algorithms for solving the variational inequality problem in Banach spaces are proposed. Then the strong convergence of the sequences generated by these algorithms will be proved under suitable conditions. Finally, using MATLAB software, we provide some numerical examples to illustrate our results.

引用

页码：143 / 162

页数：20

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