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

Autor: Asifa Tassaddiq, amshaid Ahmad, Abdullah Eqal Al-Mazrooei, Durdana Lateef, Farha Lakhani
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 3, Pp 5522-5539 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023278?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals