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dc.contributor.author | Aygün, Halis | es_ES |
dc.contributor.author | Güner, Elif | es_ES |
dc.contributor.author | Miñana, Juan-José | es_ES |
dc.contributor.author | Valero, Oscar | es_ES |
dc.date.accessioned | 2023-11-08T19:02:04Z | |
dc.date.available | 2023-11-08T19:02:04Z | |
dc.date.issued | 2022-09 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/199470 | |
dc.description.abstract | [EN] Partial metrics constitute a generalization of classical metrics for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 in order to provide an adequate mathematical framework for the denotational semantics of programming languages. Since then, different works were devoted to obtaining counterparts of metric fixed-point results in the more general context of partial metrics. Nevertheless, in the literature was shown that many of these generalizations are actually obtained as a corollary of their aforementioned classical counterparts. Recently, two fuzzy versions of partial metrics have been introduced in the literature. Such notions may constitute a future framework to extend already established fuzzy metric fixed point results to the partial metric context. The goal of this paper is to retrieve the conclusion drawn in the aforementioned paper by Haghia et al. to the fuzzy partial metric context. To achieve this goal, we construct a fuzzy metric from a fuzzy partial metric. The topology, Cauchy sequences, and completeness associated with this fuzzy metric are studied, and their relationships with the same notions associated to the fuzzy partial metric are provided. Moreover, this fuzzy metric helps us to show that many fixed point results stated in fuzzy metric spaces can be extended directly to the fuzzy partial metric framework. An outstanding difference between our approach and the classical technique introduced by Haghia et al. is shown. | es_ES |
dc.description.sponsorship | This research was funded by Proyecto PGC2018-095709-B-C21 financiado por MCIN/AEI/10.13039/501100011033 y FEDER "Una manera de hacer Europa" and from project BUGWRIGHT2. This last project has received funding from the European Union's Horizon 2020 research and innovation program under grant agreements No. 871260. 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.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 partial metric | es_ES |
dc.subject | Fixed point | es_ES |
dc.subject | Completeness | es_ES |
dc.subject | Convergence | es_ES |
dc.subject | Cauchyness | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Fuzzy Partial Metric Spaces and Fixed Point Theorems | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math10173092 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/H2020/871260/EU | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC//871260//Autonomous Robotic Inspection and Maintenance on Ship Hulls and Storage Tanks/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MCIU//PGC2018-095709-B-C21//Métricas Difusas y Operadores de Indistinguibilidad: Aplicaciones en Robótica/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Politécnica Superior de Gandia - Escola Politècnica Superior de Gandia | es_ES |
dc.description.bibliographicCitation | Aygün, H.; Güner, E.; Miñana, J.; Valero, O. (2022). Fuzzy Partial Metric Spaces and Fixed Point Theorems. Mathematics. 10(17):1-15. https://doi.org/10.3390/math10173092 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math10173092 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 15 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 10 | es_ES |
dc.description.issue | 17 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\500408 | es_ES |
dc.contributor.funder | European Commission | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades | es_ES |