Title : ( Iterated Function Systems with the Weak Average Contraction Conditions )
Authors: Azam Ehsani , Fateme Helen Ghane Ostadghassemi ,
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Abstract
This paper concerns the chaos game of random iterated function systems. We consider a random iterated function system IFS(F) generated by a finite family of Lipschitz maps on a compact ball of Rn 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(F) with respect to the Lipschitz topology.
Keywords
Iterated function systems; attractor; weak average contraction condition; chaos game
@article{paperid:1077515,
author = {Ehsani, Azam and Ghane Ostadghassemi, Fateme Helen},
title = {Iterated Function Systems with the Weak Average Contraction Conditions},
journal = {Journal of Dynamical Systems and Geometric Theories},
year = {2019},
volume = {17},
number = {2},
month = {July},
issn = {1726-037X},
pages = {173--185},
numpages = {12},
keywords = {Iterated function systems; attractor; weak average contraction condition; chaos game},
}
%0 Journal Article
%T Iterated Function Systems with the Weak Average Contraction Conditions
%A Ehsani, Azam
%A Ghane Ostadghassemi, Fateme Helen
%J Journal of Dynamical Systems and Geometric Theories
%@ 1726-037X
%D 2019
