On the intermixed method for mixed variational inequality problems: another look and some corrections

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-03-27 DOI:10.1186/s13660-024-03123-3

Satit Saejung

引用次数: 0

Abstract

We explore the intermixed method for finding a common element of the intersection of the solution set of a mixed variational inequality and the fixed point set of a nonexpansive mapping. We point out that Khuangsatung and Kangtunyakarn’s statement [J. Inequal. Appl. 2023:1, 2023] regarding the resolvent utilized in their paper is not correct. To resolve this gap, we employ the epigraphical projection and the product space approach. In particular, we obtain a strong convergence theorem with a weaker assumption.

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关于混合变分不等式问题的混合法：另一种视角和一些修正

我们探讨了寻找混合变分不等式解集与非展开映射定点集交集的共同元素的混合方法。我们指出，Khuangsatung 和 Kangtunyakarn [J. Inequal. Appl.为了解决这个问题，我们采用了表法投影和积空间方法。特别是，我们用一个较弱的假设得到了一个强收敛定理。

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

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.