<p>In this paper, we study the Reich-type iterated function systems (IFS) introduced by Miculescu and Mihail (2016) and its generalization to product spaces. We establish a relationship between the attractors of two Reich-type IFSs and the attractor of their associated product system. Additionally, we examine the general behavior of attractors of Reich-type IFSs and analyze Reich-type IFSs with condensation.</p>

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Results concerning Reich-type iterated function systems and their extension to product spaces

  • Anju Sundaran,
  • Sunil Mathew,
  • Nicolae-Adrian Secelean

摘要

In this paper, we study the Reich-type iterated function systems (IFS) introduced by Miculescu and Mihail (2016) and its generalization to product spaces. We establish a relationship between the attractors of two Reich-type IFSs and the attractor of their associated product system. Additionally, we examine the general behavior of attractors of Reich-type IFSs and analyze Reich-type IFSs with condensation.