Open Access
Article
Iterated Function Systems with the Weak Average Contraction Conditions
*A. EhsaniCorresponding authoraza_ehsani@yahoo.comDepartment of MathematicsFerdowsi University of Mashhad (FUM)Mashhad, P.O. Box 1159, 91775, IranView full profile → , F. H. Ghaneghane@math.um.ac.irDepartment of MathematicsFerdowsi University of Mashhad (FUM)Mashhad, P.O. Box 1159, 91775, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 07 Oct 2018
- Accepted:
- 03 Feb 2019
- Published Online:
- 18 Nov 2019
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2019.1651492
- Pages:
- 173–185
Abstract
This paper concerns the chaos game of random iterated function systems. We consider a random iterated function system IFS() generated by a finite family of Lipschitz maps on a compact ball of ℝundefined with the weak average contraction condition and show that it admits a quasi-attractor satisfying the deterministic chaos game. In particular, these properties are preserved under small perturbations of the iterated function system IFS() with respect to the Lipschitz topology.
Keywords
Subject Classifications
37B0537B1037A0537A25
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