On a Certain Class of IFSs and Their Attractors

• Nicolae-Adrian Secelean ^[1] ; Dariusz Wardowski ^[2]
  1. [1] Lucian Blaga University of Sibiu

     Lucian Blaga University of Sibiu

     Rumanía

     
  2. [2] University of Łódź

     University of Łódź

     Łódź, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • Our purpose in this paper is to consider a new class of iterated function systems (IFS) based on the concept of orbital condition introduced by Miculescu et al. (Analele Universit˘a¸tii de Vest Timi¸soara Seria Matematic˘a-Informatic˘a LVI 2:71–80, 2018). On the given IFS there are imposed some sufficient conditions guaranteeing the existence of an attractor. There are also established some further results which describe the nature of the attractors of the considered type. The introduced theory is supported by some examples of IFSs for which the attractors are also depicted.