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Problemy Analiza — Issues of Analysis, 2024, Volume 13(31), Issue 3, Pages 23–42
DOI: https://doi.org/10.15393/j3.art.2024.16071
(Mi pa404)
 

A new generalization of George & Veeramani-type fuzzy metric space

A. Das, D. Barman, T. Bag

Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West-Bengal, India
References:
Abstract: In this article, a concept of fuzzy F-metric space, which is a generalization of George & Veeramani-type fuzzy metric space, is introduced. Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. Finally, some topological results are established.
Keywords: t-norm, fuzzy metric, fuzzy b-metric, fuzzy F-metric.
Funding agency
The authors are thankful to the Department of Mathematics, Siksha-Bhavana, Visva-Bharati (a central university), India.
Received: 16.06.2024
Revised: 30.10.2024
Accepted: 18.10.2024
Document Type: Article
UDC: 517.98, 517.52
MSC: 46S40, 54E35
Language: English
Citation: A. Das, D. Barman, T. Bag, “A new generalization of George & Veeramani-type fuzzy metric space”, Probl. Anal. Issues Anal., 13(31):3 (2024), 23–42
Citation in format AMSBIB
\Bibitem{DasBarBag24}
\by A.~Das, D.~Barman, T.~Bag
\paper A new generalization of George \& Veeramani-type fuzzy metric space
\jour Probl. Anal. Issues Anal.
\yr 2024
\vol 13(31)
\issue 3
\pages 23--42
\mathnet{http://mi.mathnet.ru/pa404}
\crossref{https://doi.org/10.15393/j3.art.2024.16071}
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