Iterated function systems based on the degree of nondensifiability
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| Título: | Iterated function systems based on the degree of nondensifiability |
|---|---|
| Autor/es: | García Macías, Gonzalo | Mora, Gaspar |
| Grupo/s de investigación o GITE: | Curvas Alpha-Densas. Análisis y Geometría Local |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
| Palabras clave: | Fixed points | Degree of nondensifiability | Iterated function system | Invariant sets | Fractals | Invariance operator | α-dense curves |
| Fecha de publicación: | 10-abr-2023 |
| Editor: | EMS Press |
| Cita bibliográfica: | Journal of Fractal Geometry. 2022, 9(3-4): 357-372. https://doi.org/10.4171/jfg/121 |
| Resumen: | In 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]). |
| URI: | http://hdl.handle.net/10045/135738 |
| ISSN: | 2308-1309 (Print) | 2308-1317 (Online) |
| DOI: | 10.4171/jfg/121 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2023 European Mathematical Society. This work is licensed under a CC BY 4.0 license |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.4171/jfg/121 |
| Aparece en las colecciones: | INV - CADAGL - Artículos de Revistas |
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| Archivo | Descripción | Tamaño | Formato | |
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 Garcia_Mora_2023_JFractalGeom.pdf | 315,47 kB | Adobe PDF | Abrir Vista previa | |
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