Strong convergence in fuzzy metric spaces

Gregori, Valentín; Miñana, Juan-José

dc.contributor.author	Gregori, Valentín
dc.contributor.author	Miñana, Juan-José
dc.date.accessioned	2020-04-03T06:37:34Z
dc.date.available	2020-04-03T06:37:34Z
dc.identifier.uri	http://hdl.handle.net/11201/151925
dc.description.abstract	eng[ In this paper we introduce and study the concept of strong convergence in fuzzy metric spaces $(X,M,\ast)$ in the sense of George and Veeramani. This concept is related with the condition $\bigwedge_{t>0} M(x,y,t)>0$, which frequently is required or missing in this context. Among other results we characterize the class of $s$-fuzzy metrics by the strong convergence defined here and we solve partially the question of finding explicitly a \textit{compatible} metric with a given fuzzy metric.
dc.format	application/pdf
dc.relation.isformatof	https://doi.org/10.2298/FIL1706619G
dc.relation.ispartof	Filomat, 2017, vol. 31, num. 6, p. 1619-1625
dc.rights	, 2017
dc.subject.classification	004 - Informàtica
dc.subject.classification	51 - Matemàtiques
dc.subject.other	004 - Computer Science and Technology. Computing. Data processing
dc.subject.other	51 - Mathematics
dc.title	Strong convergence in fuzzy metric spaces
dc.type	info:eu-repo/semantics/article
dc.date.updated	2020-04-03T06:37:35Z
dc.subject.keywords	Fuzzy metric space
dc.subject.keywords	convergent sequence
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.2298/FIL1706619G