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dc.contributor.author | Miñana, Juan-José | es_ES |
dc.contributor.author | ostak, Alexander | es_ES |
dc.contributor.author | Valero, Oscar | es_ES |
dc.date.accessioned | 2024-11-29T19:07:51Z | |
dc.date.available | 2024-11-29T19:07:51Z | |
dc.date.issued | 2023-09-30 | es_ES |
dc.identifier.issn | 0165-0114 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/212488 | |
dc.description.abstract | [EN] It is a well-known fact that the topology induced by a fuzzy metric is metrizable. Nevertheless, the problem of how to obtain a classical metric from a fuzzy one in such a way that both induce the same topology is not solved completely. A new method to construct a classical metric from a fuzzy metric, whenever it is defined by means of an Archimedean t-norm, has recently been introduced in the literature. Motivated by this fact, we focus our efforts on such a method in this paper. We prove that the topology induced by a given fuzzy metric M and the topology induced by the metric constructed from M by means of such a method coincide. Besides, we prove that the completeness of the fuzzy metric space is equivalent to the completeness of the associated classical metric obtained by the aforementioned method. Moreover, such results are applied to obtain fuzzy versions of two well-known classical fixed point theorems in metric spaces, one due to Matkowski and the other one proved by Meir and Keeler. Although such theorems have already been adapted to the fuzzy context in the literature, we show an inconvenience on their applicability which motivates the introduction of these two new fuzzy versions. | es_ES |
dc.description.sponsorship | A. Sostak is thankful to the University of Balearic Islands for the financial support for his stay during which this work was executed. 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 programme 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 | Elsevier | es_ES |
dc.relation.ispartof | Fuzzy Sets and Systems | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Fuzzy metric space | es_ES |
dc.subject | Archimedean t-norm | es_ES |
dc.subject | Additive generator | es_ES |
dc.subject | Metrization | es_ES |
dc.subject | Completeness | es_ES |
dc.subject | Fixed point theorem | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On metrization of fuzzy metrics and application to fixed point theory | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.fss.2023.108625 | 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.relation.projectID | info:eu-repo/grantAgreement/EC/H2020/871260/EU/Autonomous Robotic Inspection and Maintenance on Ship Hulls and Storage Tanks/ | 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 | Miñana, J.; Ostak, A.; Valero, O. (2023). On metrization of fuzzy metrics and application to fixed point theory. Fuzzy Sets and Systems. 468. https://doi.org/10.1016/j.fss.2023.108625 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.fss.2023.108625 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 468 | es_ES |
dc.relation.pasarela | S\501417 | es_ES |
dc.contributor.funder | European Commission | es_ES |
dc.contributor.funder | Universitat de les Illes Balears | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |