On Extended B-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces With Application
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Date
2022
Authors
Journal Title
Journal ISSN
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Publisher
Wiley
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
Abstract
In this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. We use fuzzy contraction and prove Banach fixed point theorems in these spaces. As an application, we utilize our main results to solve the uniqueness of the solution of a differential equation occurring in the dynamic market equilibrium.
Description
Furqan, Salman/0000-0002-4708-2838; Saleem, Dr. Naeem/0000-0002-1485-6163
Keywords
Artificial intelligence, Metric (unit), Economics, Mathematical analysis, Metric Spaces, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Fixed-point theorem, Internal medicine, Algebra over a field, Banach space, Hausdorff distance, Pure mathematics, Astronomy and Astrophysics, Discrete mathematics, Computer science, Finsler Geometry in Physics and Cosmology, Fuzzy Differential Equations, Hausdorff space, Fuzzy logic, Operations management, Physics and Astronomy, Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Fuzzy Metric Spaces, Uniqueness, Metric space, Mathematics, controlled rectangular fuzzy metric-like spaces, Fuzzy topology, Fixed-point and coincidence theorems (topological aspects), extended \(b\)-rectangular fuzzy metric-like spaces, fixed point, Metric spaces, metrizability
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Saleem, Naeem; Furqan, Salman; Baleanu, Dumitru. (2022). "On Extended b -Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application", Journal of Function Spaces, Vol.2022.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
3
Source
Journal of Function Spaces
Volume
2022
Issue
Start Page
1
End Page
14
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Citations
Scopus : 7
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