S-Pata-type contraction: a new approach to fixed-point theory with an application

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-04-18 DOI:10.1186/s13660-024-03136-y

Deep Chand, Yumnam Rohen, Naeem Saleem, Maggie Aphane, Asima Razzaque

引用次数: 0

Abstract

In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.

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S-Pata 型收缩：定点理论的一种新方法及其应用

在本文中，我们在 S-度量空间的框架内引入了新类型的收缩映射，命名为 S-Pata型收缩映射和广义 S-Pata型收缩映射。然后，我们证明了 S-Pata 型收缩映射和广义 S-Pata 型收缩映射的一些新的定点结果。为了支持我们的结果，我们举例说明了我们的发现，并将这些结果应用于常微分方程，以加强我们的结论。

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.