- -

The depth and the attracting centre for a continuous map on a fuzzy metric interval

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

The depth and the attracting centre for a continuous map on a fuzzy metric interval

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Sun;Li;Su - The ...
Tamaño: 322.3Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Sun, Taixiang es_ES
dc.contributor.author Li, Lue es_ES
dc.contributor.author Su, Guangwang es_ES
dc.contributor.author Han, Caihong es_ES
dc.contributor.author Xia, Guoen es_ES
dc.date.accessioned 2020-10-07T10:15:47Z
dc.date.available 2020-10-07T10:15:47Z
dc.date.issued 2020-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/151365
dc.description.abstract [EN] Let I be a fuzzy metric interval and f be a continuous map from I to I. Denote by R(f), Ω(f) and ω(x, f) the set of recurrent points of f, the set of non-wandering points of f and the set of ω- limit points of x under f, respectively. Write ω(f) = ∪x∈Iω(x, f), ωn+1(f) = ∪x∈ωn(f)ω(x, f) and Ωn+1(f) = Ω(f|Ωn(f)) for any positive integer n. In this paper, we show that Ω2(f) = R(f) and the depth of f is at most 2, and ω3(f) = ω2(f) and the depth of the attracting centre of f is at most 2. es_ES
dc.description.sponsorship Project supported by NNSF of China (11761011, 71862003) and NSF of Guangxi (2018GXNSFAA294010) and SF of Guangxi University of Finance and Economics (2019QNB10). 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 interval es_ES
dc.subject Attracting centre es_ES
dc.subject Depth es_ES
dc.title The depth and the attracting centre for a continuous map on a fuzzy metric interval es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2020.13126
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//71862003/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11761011/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//2018GXNSFAA294010/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CUFE//2019QNB10/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sun, T.; Li, L.; Su, G.; Han, C.; Xia, G. (2020). The depth and the attracting centre for a continuous map on a fuzzy metric interval. Applied General Topology. 21(2):285-294. https://doi.org/10.4995/agt.2020.13126 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2020.13126 es_ES
dc.description.upvformatpinicio 285 es_ES
dc.description.upvformatpfin 294 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 21 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\13126 es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder National Science Foundation, China es_ES
dc.contributor.funder Central University of Finance and Economics, China es_ES
dc.description.references A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Sys. 64 (1994), 395-399. https://doi.org/10.1016/0165-0114(94)90162-7 es_ES
dc.description.references M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets Sys. 27 (1989), 385-389. https://doi.org/10.1016/0165-0114(88)90064-4 es_ES
dc.description.references V. Gregori and J. J. Miñana, Some remarks on fuzzy contractive mappings, Fuzzy Sets Sys. 251 (2014), 101-103. https://doi.org/10.1016/j.fss.2014.01.002 es_ES
dc.description.references V. Gregori and J. J. Miñana, On fuzzy Ψ-contractive sequences and fixed point theorems, Fuzzy Sets Sys. 300 (2016), 93-101. https://doi.org/10.1016/j.fss.2015.12.010 es_ES
dc.description.references V. Gregori and A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets Sys. 125 (2002), 245-252. https://doi.org/10.1016/S0165-0114(00)00088-9 es_ES
dc.description.references X. Hu, Z. Mo and Y. Zhen, On compactnesses of fuzzy metric spaces (Chinese), J. Sichuan Norm. Univer. (Natur. Sei.) 32 (2009), 184-187. es_ES
dc.description.references I. Kramosil and J. Michalek, Fuzzy metrics and statistical metric spaces, Kybernetika 11 (1975), 336-344. es_ES
dc.description.references C. Li and Y. Zhang, On connectedness of the Hausdorff fuzzy metric spaces, Italian J. Pure Appl. Math. 42 (2019), 458-466. es_ES
dc.description.references D. Mihet, Fuzzy Ψ-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets Sys. 159 (2008), 739-744. https://doi.org/10.1016/j.fss.2007.07.006 es_ES
dc.description.references D. Mihet, A note on fuzzy contractive mappings in fuzzy metric spaces, Fuzzy Sets Sys. 251 (2014), 83-91. https://doi.org/10.1016/j.fss.2014.04.010 es_ES
dc.description.references J. Rodríguez-López and S. Romaguera, The Hausdorff fuzzy metric on compact sets, Fuzzy Sets Sys. 147 (2004), 273-283. https://doi.org/10.1016/j.fss.2003.09.007 es_ES
dc.description.references B. Schweizer and A. Sklar, Statistical metrics paces, Pacif. J. Math. 10 (1960), 385-389. https://doi.org/10.2140/pjm.1960.10.313 es_ES
dc.description.references Y. Shen, D. Qiu and W. Chen, Fixed point theorems in fuzzy metric spaces, Appl. Math. Letters 25 (2012), 138-141. https://doi.org/10.1016/j.aml.2011.08.002 es_ES
dc.description.references D. Wardowski, Fuzzy contractive mappings and fixed points in fuzzy metric spaces, Fuzzy Sets Sys. 222 (2013), 108-114. https://doi.org/10.1016/j.fss.2013.01.012 es_ES
dc.description.references D. Zheng and P. Wang, On probabilistic Ψ-contractions in Menger probabilistic metric spaces, Fuzzy Sets Sys. 350 (2018), 107-110. https://doi.org/10.1016/j.fss.2018.02.011 es_ES
dc.description.references D. Zheng and P. Wang, Meir-Keeler theorems in fuzzy metric spaces, Fuzzy Sets Sys. 370 (2019), 120-128. https://doi.org/10.1016/j.fss.2018.08.014 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem