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Iterated Function Systems Consisting of \(\varvec{\varphi }\)-Contractions

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Abstract

In present times, there has been a considerable effort to generalize the classical notion of iterated function system. We’ll present in this paper iterated function systems on a compact metric space consisting of \(\varphi \)-contractions and prove that such an iterated function system necessarily has an associated fractal set and an associated fractal measure.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania

    Loredana Ioana & Alexandru Mihail

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  1. Loredana Ioana
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  2. Alexandru Mihail
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Correspondence to Loredana Ioana.

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Ioana, L., Mihail, A. Iterated Function Systems Consisting of \(\varvec{\varphi }\)-Contractions. Results Math 72, 2203–2225 (2017). https://doi.org/10.1007/s00025-017-0715-3

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  • DOI: https://doi.org/10.1007/s00025-017-0715-3

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