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

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 va...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 3; pp. 5522 - 5539
Main Authors Tassaddiq, Asifa, Ahmad, Jamshaid, Al-Mazrooei, Abdullah Eqal, Lateef, Durdana, Lakhani, Farha
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
bicomplex valued metric space
common fixed point
control functions
rational expressions
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ISSN2473-6988
2473-6988
DOI10.3934/math.2023278

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023278