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Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results

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Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results

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dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.contributor.author Tirado Peláez, Pedro es_ES
dc.date.accessioned 2021-09-14T03:32:58Z
dc.date.available 2021-09-14T03:32:58Z
dc.date.issued 2020-02 es_ES
dc.identifier.uri http://hdl.handle.net/10251/172295
dc.description.abstract [EN] With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see "Am. Math. Month. 1967, 74, 436-437") that a metric space is complete if and only if any Banach contraction on any of its closed subsets has a fixed point. We apply our main result to deduce that a well-known fixed point theorem due to D. Mihet (see "Fixed Point Theory 2005, 6, 71-78") also allows us to characterize the fuzzy metric completeness. es_ES
dc.description.sponsorship This research was partially funded by Ministerio de Ciencia, Innovacion y Universidades, under grant PGC2018-095709-B-C21 and AEI/FEDER, UE funds. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Fuzzy metric space es_ES
dc.subject Complete es_ES
dc.subject Fixed point es_ES
dc.subject Hicks contraction es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8020273 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095709-B-C21/ES/METRICAS DIFUSAS Y OPERADORES DE INDISTINGUIBILIDAD: APLICACIONES EN ROBOTICA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Romaguera Bonilla, S.; Tirado Peláez, P. (2020). Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results. Mathematics. 8(2):1-7. https://doi.org/10.3390/math8020273 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8020273 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 7 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\403099 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
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