COMMON FIXED-POINT THEOREM USING ψ -WEAK CONTRACTION FOR EIGHT SELF-MAPPINGS IN FUZZY METRIC SPACE
By
Sonu¹, Anil Kumar² and Santosh Kumar³
¹,²Department of Mathematics, School of Physical Sciences, Starex University, Gurugram, Haryana, India-122413
³Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania
Email: sonuu.yadav007@gmail.com, dranilkumar73@rediffmail.com and drsengar2002@gmail.com
(Received: February 28, 2023 ; In format: March 31, 2023; Revised: June 08, 2023; Accepted; June 09, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53136
Abstract
Applying weakly compatible for eight self-mappings in fuzzy metric space, we demonstrate common fixed-point theorems in this analysis after already formulating the generalised ψ- weak contraction condition, which involves third and fourth components of M(x, y, t).
2020 Mathematical Sciences Classification: 47H10, 54H25.
Keywords and Phrases: ψ-Weak Contraction, weakly Compatible mappings, fuzzy metric space.