On common fixed point results in bicomplex valued metric spaces with application-Reference-Cited by-同舟云学术

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

Published:2022 Issue:3 Volume:8 Page:5522-5539
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Tassaddiq Asifa¹,Ahmad Jamshaid²,Al-Mazrooei Abdullah Eqal³,Lateef Durdana⁴,Lakhani Farha⁵

Affiliation:

1. Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia

2. Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

3. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

4. Department of Mathematics, College of Science, Taibah University, Madina 41411, Saudi Arabia

5. School of Computing, University of Leeds, Leeds, United Kingdom

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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