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Attractor for minimal iterated function systems

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Abstract

In the present work, we study the attractors of iterated function systems (IFSs) on compact metric spaces. We prove that the whole of the phase space of a forward minimal IFS, for which some map admits an attracting fixed point, is an attractor.

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Acknowledgements

We thank Ale Jan Homburg for useful discussions and suggestions.

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  1. Department of Mathematics, Ilam University, Ilam, Iran

    Aliasghar Sarizadeh

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  1. Aliasghar Sarizadeh
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Correspondence to Aliasghar Sarizadeh.

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Sarizadeh, A. Attractor for minimal iterated function systems. Collect. Math. (2023). https://doi.org/10.1007/s13348-023-00422-8

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  • DOI: https://doi.org/10.1007/s13348-023-00422-8

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