Nb-fuzzy metric spaces with topological properties and applications
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Date
2023
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Publisher
Amer inst Mathematical Sciences-aims
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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, Quasi N-Fuzzy Metric Space, Q-Contraction
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Citation
Fernandez, Jerolina;...et.al. (2023). "Nb-fuzzy metric spaces with topological properties and applications", AIMS Mathematics, Vol.8, No.3, pp.5879-5898.
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Q1
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Q1
Source
Volume
8
Issue
3
Start Page
5879
End Page
5898