- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 2
- Completeness of fuzzy quasi-pseudometric spaces
Completeness of fuzzy quasi-pseudometric spaces
Authors : Shi Yi, Wei Yao
Pages : 426-444
Doi:10.15672/hujms.1082134
View : 9 | Download : 3
Publication Date : 2023-03-31
Article Type : Research
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