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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
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.
Received: 16.06.2024 Revised: 30.10.2024 Accepted: 18.10.2024
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
Linking options:
https://www.mathnet.ru/eng/pa404 https://www.mathnet.ru/eng/pa/v31/i3/p23
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Abstract page: | 91 | Full-text PDF : | 32 | References: | 13 |
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