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Extended Fuzzy Metrics and Fixed Point Theorems

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dc.contributor.authorGregori, Valentin
dc.contributor.authorMiñana, Juan-José
dc.contributor.authorMiravet, David
dc.date.accessioned2024-09-10T13:09:03Z
dc.date.available2024-09-10T13:09:03Z
dc.date.issued2019-03-25
dc.description.abstractIn this paper, we study those fuzzy metrics M on X, in the George and Veeramani's sense, such that t>0M(x,y,t)>0. The continuous extension M0 of M to X2x0,+infinity is called extended fuzzy metric. We prove that M0 generates a metrizable topology on X, which can be described in a similar way to a classical metric. M0 can be used for simplifying or improving questions concerning M; in particular, we expose the interest of this kind of fuzzy metrics to obtain generalizations of fixed point theorems given in fuzzy metric spaces.en
dc.description.sponsorshipV. Gregori acknowledges the support of the Ministry of Economy and Competitiveness of Spain under Grant MTM2015-64373-P (MINECO/Feder, UE). Juan Jose Minana acknowledges the partial support of the Spanish Ministry of Economy and Competitiveness under Grant TIN2016-81731-REDT (LODISCO II) and AEI/FEDER, UE funds, by the Programa Operatiu FEDER 2014-2020 de les Illes Balears, by project ref. PROCOE/4/2017 (Direccio General d'Innovacio i Recerca, Govern de les Illes Balears), and by project ROBINS. The latter has received research funding from the EU H2020 framework under GA 779776. This publication reflects only the authors' views and the European Union is not liable for any use that may be made of the information contained therein.es_ES
dc.format.number3es_ES
dc.format.page303es_ES
dc.format.volume7es_ES
dc.identifier.citationGregori V, Miñana Prats JJ, Miravet D. Extended Fuzzy Metrics and Fixed Point Theorems. Mathematics. 2019 Mar 25;7(3):303.en
dc.identifier.doi10.3390/math7030303
dc.identifier.issn2227-7390
dc.identifier.journalMathematicses_ES
dc.identifier.otherhttp://hdl.handle.net/20.500.13003/17578
dc.identifier.scopus2-s2.0-85063877349
dc.identifier.urihttps://hdl.handle.net/20.500.12105/22735
dc.identifier.wos464350000002
dc.language.isoengen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.relation.publisherversionhttps://dx.doi.org/10.3390/math7030303en
dc.rights.accessRightsopen accessen
dc.rights.licenseAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectFuzzy metric space
dc.subjectFuzzy contractive mapping
dc.subjectFixed point
dc.titleExtended Fuzzy Metrics and Fixed Point Theoremsen
dc.typeresearch articleen
dspace.entity.typePublication
relation.isPublisherOfPublication30293a55-0e53-431f-ae8c-14ab01127be9
relation.isPublisherOfPublication.latestForDiscovery30293a55-0e53-431f-ae8c-14ab01127be9

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