Topological version of generalized (infinite) iterated function systems

Dan Dumitru, Loredana Ioana, Răzvan-Cornel Sfetcu and Filip Strobin

Chaos, Solitons & Fractals, 2015, vol. 71, issue C, 78-90

Abstract: Our paper is an attempt to unify various generalizations of IFSs which appeared in the literature in the last years. We extend the notion of a generalized iterated function system (introduced by Miculescu and Mihail in 2008) to the topological and (possible) infinite case. Then we prove that many classical results (for example the existence of a unique attractor) hold for this extended case.

Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:71:y:2015:i:c:p:78-90

DOI: 10.1016/j.chaos.2014.12.005

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