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The periodic points of ε-contractive maps in fuzzy metric spaces

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The periodic points of ε-contractive maps in fuzzy metric spaces

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dc.contributor.author Sun, Taixiang es_ES
dc.contributor.author Han, Caihong es_ES
dc.contributor.author Su, Guangwang es_ES
dc.contributor.author Qin, Bin es_ES
dc.contributor.author Li, Lue es_ES
dc.date.accessioned 2021-10-06T06:49:05Z
dc.date.available 2021-10-06T06:49:05Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/173899
dc.description.abstract [EN] In this paper, we introduce the notion of ε-contractive maps in fuzzy metric space (X, M, ∗) and study the periodicities of ε-contractive maps. We show that if (X, M, ∗) is compact and f : X −→ X is ε-contractive, then P(f) = ∩ ∞n=1f n (X) and each connected component of X contains at most one periodic point of f, where P(f) is the set of periodic points of f. Furthermore, we present two examples to illustrate the applicability of the obtained results. es_ES
dc.description.sponsorship Project supported by NNSF of China (11761011) and NSF of Guangxi (2020GXNSFAA297010) and PYMRBAP for Guangxi CU(2021KY0651) es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Fuzzy metric space es_ES
dc.subject Ε-contractive map es_ES
dc.subject Periodic point es_ES
dc.title The periodic points of ε-contractive maps in fuzzy metric spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.14449
dc.relation.projectID info:eu-repo/grantAgreement/NNSF//11761011/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GXNSF//2020GXNSFAA297010/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sun, T.; Han, C.; Su, G.; Qin, B.; Li, L. (2021). The periodic points of ε-contractive maps in fuzzy metric spaces. Applied General Topology. 22(2):311-319. https://doi.org/10.4995/agt.2021.14449 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.14449 es_ES
dc.description.upvformatpinicio 311 es_ES
dc.description.upvformatpfin 319 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\14449 es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Guangxi Natural Science Fundation, China es_ES
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