Geodesic
A new generalization of George \ Veeramani-type fuzzy metric space
Problemy analiza, Tome 13 (2024) no. 3, pp. 23-42

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: fuzzy metric, fuzzy $b$-metric, fuzzy $ \mathscr{F}$-metric.
Mots-clés : $t$-norm 
@article{PA_2024_13_3_a1,
     author = {A. Das and D. Barman and T. Bag},
     title = {A new generalization of {George} \& {Veeramani-type} fuzzy metric space},
     journal = {Problemy analiza},
     pages = {23--42},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2024_13_3_a1/}
}
TY  - JOUR
AU  - A. Das
AU  - D. Barman
AU  - T. Bag
TI  - A new generalization of George \& Veeramani-type fuzzy metric space
JO  - Problemy analiza
PY  - 2024
SP  - 23
EP  - 42
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PA_2024_13_3_a1/
LA  - en
ID  - PA_2024_13_3_a1
ER  - 
%0 Journal Article
%A A. Das
%A D. Barman
%A T. Bag
%T A new generalization of George \& Veeramani-type fuzzy metric space
%J Problemy analiza
%D 2024
%P 23-42
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PA_2024_13_3_a1/
%G en
%F PA_2024_13_3_a1
A. Das; D. Barman; T. Bag. A new generalization of George \& Veeramani-type fuzzy metric space. Problemy analiza, Tome 13 (2024) no. 3, pp. 23-42. http://geodesic.mathdoc.fr/item/PA_2024_13_3_a1/