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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 |
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