关系度量空间中 Reich-Rus-Ćirić 型收缩的统一内插法及其应用

IF 1.5 3区数学 Q1 MATHEMATICS Journal of Inequalities and Applications Pub Date : 2024-07-25 DOI:10.1186/s13660-024-03176-4

Koti N. V. V. Vara Prasad, Vinay Mishra, Zoran D. Mitrović, Dania Santina, Nabil Mlaiki

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引用次数: 0

摘要

在本文中，我们介绍了 Reich-Rus-Ćirić 型统一插值收缩的概念，并给出了在关系度量空间框架内有关这些映射的定点的一些结果。我们举例说明了一些与以往研究成果不相关的问题。此外，我们还将我们的结果应用于解决与非线性矩阵方程相关的问题，强调了它们的实际重要性。

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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Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application

In this paper, we introduce the notion of unified interpolative contractions of the Reich–Rus–Ćirić type and give some results about the fixed points for these mappings in the framework of relational metric spaces. We present examples where the results of some previous research are not relevant. Also, we apply our results to solving problems related to nonlinear matrix equations, emphasizing their practical importance.

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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.