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Hardy–Rogers Type Iterated Function Systems

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Abstract

In this paper we introduce the concept of Hardy–Rogers type iterated function system and we prove that the fractal operator associated to such a system is a Picard operator. Some examples are provided.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Piteşti, Romania, Târgul din Vale 1, 110040, Piteşti, Argeş, Romania

    Flavian Georgescu

  2. Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Romania, Iuliu Maniu Street, nr. 50, 500091, Braşov, Romania

    Radu Miculescu

  3. Faculty of Mathematics and Computer Science, University of Bucharest, Romania, Academiei Street 14, 010014, Bucharest, Romania

    Alexandru Mihail

Authors
  1. Flavian Georgescu
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  2. Radu Miculescu
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  3. Alexandru Mihail
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Correspondence to Radu Miculescu.

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Georgescu, F., Miculescu, R. & Mihail, A. Hardy–Rogers Type Iterated Function Systems. Qual. Theory Dyn. Syst. 19, 37 (2020). https://doi.org/10.1007/s12346-020-00378-1

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