The strong convergence for solutions of pseudomonotone variational inequality problem in Banach spaces

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917391

Xin Chang, Muyuan Liu, Liang Yan

引用次数: 0

Abstract

In this paper, based on the line-search technique, an iteration method to solve pseudomonotone variational inequality problem in 2-uniformly convex Banach spaces is introduced. The iteration scheme presented in this paper is proved to converge strongly to a solution of the pseudomonotone variational inequality problem. Our result extends the main result in [4]

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Banach空间中伪单调变分不等式问题解的强收敛性

本文基于直线搜索技术，提出了一种求解2-一致凸Banach空间中伪单调变分不等式问题的迭代方法。证明了本文提出的迭代格式强收敛于伪单调变分不等式问题的一个解。我们的结果扩展了[4]中的主要结果

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

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