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

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dc.contributor.author Gregori, Valentín
dc.contributor.author Miñana, Juan-José
dc.date.accessioned 2021-06-10T07:48:49Z
dc.identifier.uri http://hdl.handle.net/11201/155567
dc.description.abstract [eng] 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.
dc.format application/pdf
dc.relation.isformatof Versió postprint del document publicat a: https://doi.org/10.1007/s13398-021-01068-6
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie a-Matematicas, 2021, vol. 115, num. 129, p. 1-11
dc.subject.classification 51 - Matemàtiques
dc.subject.classification 004 - Informàtica
dc.subject.other 51 - Mathematics
dc.subject.other 004 - Computer Science and Technology. Computing. Data processing
dc.title A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/acceptedVersion
dc.date.updated 2021-06-10T07:48:49Z
dc.date.embargoEndDate info:eu-repo/date/embargoEnd/2022-05-28
dc.embargo 2022-05-29
dc.subject.keywords Fuzzy metric space
dc.subject.keywords Fuzzy contractive mapping
dc.subject.keywords Archimedean continuous t-conorm
dc.subject.keywords fixed point theory
dc.subject.keywords k-contraction
dc.rights.accessRights info:eu-repo/semantics/embargoedAccess
dc.identifier.doi https://doi.org/10.1007/s13398-021-01068-6

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