On Principal Fuzzy Metric Spaces

نویسندگان

چکیده

In this paper, we deal with the notion of fuzzy metric space (X,M,∗), or simply X, due to George and Veeramani. It is well known that such spaces, in general, are not completable also there exist p-Cauchy sequences which Cauchy. We prove if every sequence X Cauchy, then principal, observe converse false, general. Hence, introduce study a stronger concept than called strongly principal. Moreover, weak p-complete p-convergent. principal (or principal), family agrees Cauchy sequences. Among other results related completeness, where M strong respect an integral (positive) t-norm ∗ admits completion.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10162860