|
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
Аннотация:
In this article, a concept of fuzzy $ \mathscr{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.
Ключевые слова:
$t$-norm, fuzzy metric, fuzzy $b$-metric, fuzzy $ \mathscr{F}$-metric.
Поступила в редакцию: 16.06.2024 Исправленный вариант: 30.10.2024 Принята в печать: 18.10.2024
Образец цитирования:
A. Das, D. Barman, T. Bag, “A new generalization of George & Veeramani-type fuzzy metric space”, Пробл. анал. Issues Anal., 13(31):3 (2024), 23–42
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa404 https://www.mathnet.ru/rus/pa/v31/i3/p23
|
|