Common Fixed Point Theorems on -Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation

IF 1.9 3区数学 Q1 MATHEMATICS

Journal of Function Spaces Pub Date : 2024-05-03 DOI:10.1155/2024/5108481

G. S. Saluja, Hemant Kumar Nashine, Reena Jain, Rabha W. Ibrahim, Hossam A. Nabwey

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引用次数: 0

Abstract

It has been shown that the findings of -metric spaces may be deduced from -metric spaces by considering . In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving rational terms in the context of complete -metric spaces and discuss their implications. We also provide examples to illustrate the work. This paper’s findings generalize and expand a number of previously published conclusions. In addition, the abstract conclusions are supported by an application of the Riemann-Liouville calculus to a fractional integral problem and a supportive numerical example.

查看原文本刊更多论文

涉及有理项的积分型收缩的-度量空间上的常见定点定理及其在分式积分方程中的应用

研究表明，-度量空间的结果可以通过考虑。在本研究中，我们没有考虑此类可转化为度量空间结果的概念。我们建立了完整-度量空间中涉及有理项的积分型收缩的标准定点定理，并讨论了它们的意义。我们还举例说明了这项工作。本文的结论概括并扩展了之前发表的一些结论。此外，我们还将黎曼-刘维尔微积分应用于一个分数积分问题，并提供了一个支持性的数值示例来支持这些抽象结论。

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 Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS

CiteScore

4.10

自引率

10.50%

发文量

451

审稿时长

15 weeks

期刊介绍： Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.