Topological Methods in Nonlinear Analysis, Year (2020-5)

Title : ( Addendum and corrigendum to \"On the chaos game of iterated function systems\" )

Authors: Pablo G. Barrientos , Maxwell Fitzsimmons , Fateme Helen Ghane Ostadghassemi , Dominique Malicet , ALIASGHAR SARIZADEH ,

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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 gama-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.

Keywords

, Iterated function systems, quasi-attractors, Conley attractors, chaos game.
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@article{paperid:1080025,
author = {پابلو بارینتوس and ماگزول فیتزیمونس and Ghane Ostadghassemi, Fateme Helen and دومینیک مالیشت and علی اصغر ساری زاده},
title = {Addendum and corrigendum to \"On the chaos game of iterated function systems\"},
journal = {Topological Methods in Nonlinear Analysis},
year = {2020},
month = {May},
issn = {1230-3429},
keywords = {Iterated function systems; quasi-attractors; Conley attractors; chaos game.},
}

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%0 Journal Article
%T Addendum and corrigendum to \"On the chaos game of iterated function systems\"
%A پابلو بارینتوس
%A ماگزول فیتزیمونس
%A Ghane Ostadghassemi, Fateme Helen
%A دومینیک مالیشت
%A علی اصغر ساری زاده
%J Topological Methods in Nonlinear Analysis
%@ 1230-3429
%D 2020

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