Fuzzy Triple Controlled Metric like Spaces with Applications

Naeem Saleem (), Salman Furqan, Kinda Abuasbeh () and Muath Awadalla
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Naeem Saleem: Department of Mathematics, University of Management and Technology Lahore, Lahore 54770, Pakistan
Salman Furqan: Department of Mathematics, University of Management and Technology Lahore, Lahore 54770, Pakistan
Kinda Abuasbeh: Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi Arabia
Muath Awadalla: Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi Arabia

Mathematics, 2023, vol. 11, issue 6, 1-30

Abstract: In this article, we introduce the concept of a fuzzy triple controlled metric like space in the sense that the self distance may not be equal to one. We have used three functions in our space that generalize fuzzy controlled rectangular, extended fuzzy rectangular, fuzzy b – rectangular and fuzzy rectangular metric like spaces. Various examples are given to justify our definitions and results. As for the topological aspect, we prove a fuzzy triple controlled metric like space is not Hausdorff. We also apply our main result to solve the uniqueness of the solution of a fractional differential equation.

Keywords: fuzzy metric like space; controlled metric space; fractional differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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