Nb-Fuzzy Metric Spaces With Topological Properties and Applications
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Abstract
Our aim is to introduce the notion of Nb-fuzzy metric space (FMS). We also define quasi N-FMS, and pseudo Nb-FMS with examples and counterexamples and prove a decomposition theorem for pseudo Nb-FMS. We prove various theorems related to the convergence of sequences and analyze topology of symmetric Nb-FMS. At last, we provide an application of q-contraction mapping as a Banach contraction principle (BCP) in the structure of symmetric Nb-FMS and applied it in the solution of integral equations and linear equations.
Description
Isik, Huseyin/0000-0001-7558-4088; Fernandez, Dr. Jerolina/0000-0002-2807-9596
Keywords
Nb-Fuzzy Metric Space, Pseudo Nb-Fuzzy Metric Space, Q-Contraction, Quasi N-Fuzzy Metric Space, Counterexample, Cone Metric Spaces, q-contraction, Metric Spaces, Fixed Point Theorems in Metric Spaces, pseudo n<sub>b</sub>-fuzzy metric space, QA1-939, FOS: Mathematics, Internal medicine, Topology (electrical circuits), n<sub>b</sub>-fuzzy metric space, Banach space, Pure mathematics, quasi n-fuzzy metric space, Discrete mathematics, Combinatorics, Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Fuzzy Metric Spaces, Metric space, Mathematics, Topological space
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Fernandez, Jerolina;...et.al. (2023). "Nb-fuzzy metric spaces with topological properties and applications", AIMS Mathematics, Vol.8, No.3, pp.5879-5898.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
2
Source
AIMS Mathematics
Volume
8
Issue
3
Start Page
5879
End Page
5898
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Citations
Scopus : 3
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Mendeley Readers : 1
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3
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3
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3
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