Cauchyness and convergence in fuzzy metric spaces

Gregori, Valentín; Miñana, Juan-José; Morillas, Samuel; Sapena, Almanzor

dc.contributor.author	Gregori, Valentín
dc.contributor.author	Miñana, Juan-José
dc.contributor.author	Morillas, Samuel
dc.contributor.author	Sapena, Almanzor
dc.date.accessioned	2020-04-03T06:01:40Z
dc.date.available	2020-04-03T06:01:40Z
dc.identifier.uri	http://hdl.handle.net/11201/151919
dc.description.abstract	[eng] In this paper we survey some concepts of convergence and Cauchyness appeared separa\-tely in the context of fuzzy metric spaces in the sense of George and Veeramani. For each convergence (Cauchyness) concept we find a compatible Cauchyness (convergence) concept. We also study the relationship among them and the relationship with compactness and completeness (defined in a natural sense for each one of the Cauchy concepts). In particular, we prove that compactness implies $p$-completeness.
dc.format	application/pdf
dc.relation.isformatof	Versió postprint del document publicat a: https://doi.org/10.1007/s13398-015-0272-0
dc.relation.ispartof	Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie a-Matematicas, 2016, vol. 111, p. 25-37
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	Cauchyness and convergence in fuzzy metric spaces
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
dc.date.updated	2020-04-03T06:01:42Z
dc.subject.keywords	Fuzzy metric space
dc.subject.keywords	Cauchy sequence
dc.subject.keywords	convergent sequence
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.1007/s13398-015-0272-0