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2020 Addendum and corrigendum to "On the chaos game of iterated function systems"
Pablo G. Barrientos, Maxwell Fitzsimmons, Fatemeh H. Ghane, Dominique Malicet, Aliasghar Sarizadeh
Topol. Methods Nonlinear Anal. 55(2): 601-616 (2020). DOI: 10.12775/TMNA.2019.107

Abstract

We provide a counter-example to Theorem 1.4(a) in [3], 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 Ls-attraction of a quasi-attractor $A$ is not compact. In order to fix this gap, we modified the definition of 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.

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Pablo G. Barrientos. Maxwell Fitzsimmons. Fatemeh H. Ghane. Dominique Malicet. Aliasghar Sarizadeh. "Addendum and corrigendum to "On the chaos game of iterated function systems"." Topol. Methods Nonlinear Anal. 55 (2) 601 - 616, 2020. https://doi.org/10.12775/TMNA.2019.107

Information

Published: 2020
First available in Project Euclid: 11 June 2020

zbMATH: 07243988
MathSciNet: MR4131169
Digital Object Identifier: 10.12775/TMNA.2019.107

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.55 • No. 2 • 2020
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