Description

• Title:
  Addendum and corrigendum to "On the chaos game of iterated function systems"
• Creator:
  Barrientos, Pablo G.;
  Fitzsimmons, Maxwell;
  Ghane, Fatemeh H.;
  Malicet, Dominique;
  Sarizadeh, Aliasghar
• Description:
  We provide a counter-example to Theorem 1.4(a) in Topol. Methods Nonlinear Anal. 49 (2017), no. 1, 105-132, by showing that the closure of the $\Gamma$-orbit of a point $x$ in the pointwise basin of $\mathrm{Ls}$-attraction of a quasi-attractor $A$ is not compact. In order to fix this gap, we modified the definition of $\mathrm{Ls}$-basin of attraction. In addiction, we propose a better place to play the chaos game and as a consequence we get some additional results on strongly-fibred quasi-attractors and Conley attractors.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.05.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 55, No 2 (June 2020); 601 - 616;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.107/25748 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.107/25749
• Subject:
  Iterated function systems;
  quasi-attractors;
  Conley attractors;
  chaos game;
  Primary;
  37C05;
  37C20;
  Secondary;
  37E10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.107
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other