Completeness of fuzzy quasi-pseudometric spaces

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Hacettepe Journal of Mathematics and Statistics
Volume:52 Issue:2
Completeness of fuzzy quasi-pseudometric spaces

Completeness of fuzzy quasi-pseudometric spaces

Pages : 426-444

View : 24 | Download : 8

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :The purpose of this paper is to present the relations among the completeness of sequences, of filters and of nets in the framework of fuzzy quasi-pseudometric spaces. In particular, we show that right completeness of filters and of sequences are equivalent under special conditions of fuzzy quasi-pseudometrics. By introducing a kind of more general right K-Cauchy nets in fuzzy quasi-pseudometric spaces, the equivalence between the completeness of the nets and the sequential completeness is established.
Keywords : Fuzzy quasi pseudometric space, Cauchy sequence, Cauchy filter, Cauchy net, completeness

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