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Iterated function systems based on the degree of nondensifiability

Please use this identifier to cite or link to this item: http://hdl.handle.net/10045/135738
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dc.contributorCurvas Alpha-Densas. Análisis y Geometría Locales_ES
dc.contributor.authorGarcía Macías, Gonzalo-
dc.contributor.authorMora, Gaspar-
dc.contributor.otherUniversidad de Alicante. Departamento de Matemáticases_ES
dc.date.accessioned2023-07-04T07:35:54Z-
dc.date.available2023-07-04T07:35:54Z-
dc.date.issued2023-04-10-
dc.identifier.citationJournal of Fractal Geometry. 2022, 9(3-4): 357-372. https://doi.org/10.4171/jfg/121es_ES
dc.identifier.issn2308-1309 (Print)-
dc.identifier.issn2308-1317 (Online)-
dc.identifier.urihttp://hdl.handle.net/10045/135738-
dc.description.abstractIn the present paper we introduce the concept of iterated function systems (IFS) having at least one ϕ-condensing mapping which belongs to the finite set of self-mappings that define the IFS. It is shown the existence of an invariant for those IFS. Whenever all the self-mappings are ϕ-condensing we prove that the invariant set is compact. We propose some applications of those IFS having ϕ-condensing self-mappings to the superposition operator defined on the Banach space C([0,1]).es_ES
dc.languageenges_ES
dc.publisherEMS Presses_ES
dc.rights© 2023 European Mathematical Society. This work is licensed under a CC BY 4.0 licensees_ES
dc.subjectFixed pointses_ES
dc.subjectDegree of nondensifiabilityes_ES
dc.subjectIterated function systemes_ES
dc.subjectInvariant setses_ES
dc.subjectFractalses_ES
dc.subjectInvariance operatores_ES
dc.subjectα-dense curveses_ES
dc.titleIterated function systems based on the degree of nondensifiabilityes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.peerreviewedsies_ES
dc.identifier.doi10.4171/jfg/121-
dc.relation.publisherversionhttps://doi.org/10.4171/jfg/121es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
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