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A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms

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A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms

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dc.contributor.author Gregori Gregori, Valentín es_ES
dc.contributor.author Miñana, Juan-José es_ES
dc.date.accessioned 2022-10-13T18:07:36Z
dc.date.available 2022-10-13T18:07:36Z
dc.date.issued 2021-07 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/187700
dc.description.abstract [EN] Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. The difficulty of demonstrating a fixed point theorem in such kind of spaces makes the authors to demand extra conditions on the space other than completeness. In this paper, we introduce a new version of the celebrated Banach contracion principle in the context of fuzzy metric spaces. It is defined by means of t-conorms and constitutes an adaptation to the fuzzy context of the mentioned contracion principle more "faithful" than the ones already defined in the literature. In addition, such a notion allows us to prove a fixed point theorem without requiring any additional condition on the space apart from completeness. Our main result (Theorem 1) generalizes another one proved by Castro-Company and Tirado. Besides, the celebrated Banach fixed point theorem is obtained as a corollary of Theorem 1. es_ES
dc.description.sponsorship Juan-José Miñana acknowledges financial support from FEDER/Ministerio de Ciencia, Innovación y Universidades-Agencia Estatal de Investigación/¿Proyecto PGC2018-095709-B-C21. This work is also partially supported by Programa Operatiu FEDER 2014-2020 de les Illes Balears, by project PROCOE/4/2017 (Direcció General d¿Innovació i Recerca, Govern de les Illes Balears) and by projects ROBINS and BUGWRIGHT2. These two latest projects have received funding from the European Union¿s Horizon 2020 research and innovation programme under grant agreements No 779776 and No 871260, respectively. 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. Valentín Gregori acknowledges the support of Generalitat Valenciana under grant AICO-2020-136. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Fuzzy metric space es_ES
dc.subject Fuzzy contractive mapping es_ES
dc.subject Archimedean continuous t-conorm es_ES
dc.subject Fixed point es_ES
dc.subject K-contraction es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-021-01068-6 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/CAIB//PROCOE%2F4%2F2017/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/779776/EU es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO-2020-136/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/871260/EU 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 Gregori Gregori, V.; Miñana, J. (2021). A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(3):1-11. https://doi.org/10.1007/s13398-021-01068-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-021-01068-6 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 11 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 115 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\456851 es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Govern de les Illes Balears es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
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