Continuity Dependence of Attractors of Iterated Function Systems with Orbital Condition

Dariusz Wardowski ^[1]
1. [1] University of Łódź
  
  University of Łódź
  
  Łódź, Polonia
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 5, 2024
Idioma: inglés
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Resumen
- In the article Secelean and Wardowski (Qual Theory Dyn Syst 21:162, 2022), there were introduced iterated function systems involving certain condition of orbital type. The attractors of such IFSs substantially extend the family of fractal objects investigated so far. In the present work we provide some further properties and give the answer regarding the continuity dependence of this type of attractors with respect to the continuous change of the parameters that describe the maps of the given orbital IFS and the initially chosen compact subset.