On common fixed point results in bicomplex valued metric spaces with application

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-01 DOI:10.3934/math.2023278

Asifa Tassaddiq, Jamshaid Ahmad, A. Al-Mazrooei, Durdana Lateef, F. Lakhani

引用次数: 2

Abstract

Metric fixed-point theory has become an essential tool in computer science, communication engineering and complex systems to validate the processes and algorithms by using functional equations and iterative procedures. The aim of this article is to obtain common fixed point results in a bicomplex valued metric space for rational contractions involving control functions of two variables. Our theorems generalize some famous results from literature. We supply an example to show the originality of our main result. As an application, we develop common fixed point results for rational contractions involving control functions of one variable in the context of bicomplex valued metric space.

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二复值度量空间中的公共不动点结果及其应用

度量定点理论已成为计算机科学、通信工程和复杂系统中使用函数方程和迭代程序验证过程和算法的重要工具。本文的目的是获得双复值度量空间中涉及两个变量的控制函数的有理收缩的公共不动点结果。我们的定理推广了文献中的一些著名结果。我们提供了一个例子来展示我们主要结果的独创性。作为一个应用，我们在双复值度量空间的上下文中开发了涉及一个变量的控制函数的有理收缩的公共不动点结果。

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.