A New Extension to the Intuitionistic Fuzzy Metric-like Spaces

In this manuscript, we introduce the concept of intuitionistic fuzzy controlled metric-like spaces via continuous t-norms and continuous t-conorms. This new metric space is an extension to intuitionistic fuzzy controlled metric-like spaces, controlled metric-like spaces and controlled fuzzy metric s...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-07, Vol.14 (7), p.1400
Main Authors: Uddin, Fahim, Ishtiaq, Umar, Javed, Khalil, Aiadi, Suhad Subhi, Arshad, Muhammad, Souayah, Nizar, Mlaiki, Nabil
Format: Article
Language:English
Subjects:
Differential equations
fixed point theorems
Fixed points (mathematics)
Fractional calculus
Fuzzy control
fuzzy metric spaces
Fuzzy sets
Metric space
non-linear fractional differential equations
Norms
symmetric metric spaces
Theorems
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Summary:In this manuscript, we introduce the concept of intuitionistic fuzzy controlled metric-like spaces via continuous t-norms and continuous t-conorms. This new metric space is an extension to intuitionistic fuzzy controlled metric-like spaces, controlled metric-like spaces and controlled fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We prove some fixed-point theorems and we present non-trivial examples to illustrate our results. We used different techniques based on the properties of the considered spaces notably the symmetry of the metric. Moreover, we present an application to non-linear fractional differential equations.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14071400