Fuzzy Triple Controlled Metric like Spaces with Applications

Author:

Saleem Naeem1ORCID,Furqan Salman1ORCID,Abuasbeh Kinda2ORCID,Awadalla Muath2ORCID

Affiliation:

1. Department of Mathematics, University of Management and Technology Lahore, Lahore 54770, Pakistan

2. Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi Arabia

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.

Funder

Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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