A characterization of p-complete fuzzy metric spaces

Gregori, V.; Miñana, J.J.; Roig, B.; Sapena, A.

dc.contributor.author	Gregori, V.
dc.contributor.author	Miñana, J.J.
dc.contributor.author	Roig, B.
dc.contributor.author	Sapena, A.
dc.date.accessioned	2023-08-31T07:20:17Z
dc.date.available	2023-08-31T07:20:17Z
dc.identifier.uri	http://hdl.handle.net/11201/161487
dc.description.abstract	[eng] George and Veeramani characterized complete fuzzy metric spaces (X;M; ) by means of nested sequences fAng of closed sets of X which have fuzzy diameter zero [3]. In [5] an appropriate concept of p-Cauchy sequence, according to the concept of p-convergence due to D. Mihet [11], was given. In this paper we introduce for fAng a concept of p-fuzzy diameter zero, which is according to the concept of p-convergence. Then, we characterize by means of certain nested sequences fAng which have p-fuzzy diameter zero, those fuzzy metric spaces in which p-Cauchy sequences are convergent (p-convergent), called p- complete spaces (w-p-complete spaces). As a consequence of our results we obtain the well-known characterization of a complete
dc.format	application/pdf
dc.relation.isformatof	Versió postprint del document publicat a: https://doi.org/10.1016/j.fss.2021.12.001
dc.relation.ispartof	Fuzzy Sets and Systems, 2022, vol. 444, p. 144-155
dc.subject.classification	51 - Matemàtiques
dc.subject.classification	004 - Informàtica
dc.subject.other	51 - Mathematics
dc.subject.other	004 - Computer Science and Technology. Computing. Data processing
dc.title	A characterization of p-complete fuzzy metric spaces
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
dc.date.updated	2023-08-31T07:20:17Z
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.1016/j.fss.2021.12.001