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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.