Iterated function systems based on the degree of nondensifiability
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| Title: | Iterated function systems based on the degree of nondensifiability |
|---|---|
| Authors: | García Macías, Gonzalo | Mora, Gaspar |
| Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
| Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
| Keywords: | Fixed points | Degree of nondensifiability | Iterated function system | Invariant sets | Fractals | Invariance operator | α-dense curves |
| Issue Date: | 10-Apr-2023 |
| Publisher: | EMS Press |
| Citation: | Journal of Fractal Geometry. 2022, 9(3-4): 357-372. https://doi.org/10.4171/jfg/121 |
| Abstract: | 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 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Rights: | © 2023 European Mathematical Society. This work is licensed under a CC BY 4.0 license |
| Peer Review: | si |
| Publisher version: | https://doi.org/10.4171/jfg/121 |
| Appears in Collections: | INV - CADAGL - Artículos de Revistas |
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| File | Description | Size | Format | |
|---|---|---|---|---|
 Garcia_Mora_2023_JFractalGeom.pdf | 315,47 kB | Adobe PDF | Open Preview | |
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