Self-similar sets satisfying the common point property

Víctor F. Sirvent

Chaos, Solitons & Fractals, 2014, vol. 69, issue C, 117-128

Abstract: A self-similar set is a fixed point of iterated function system (IFS) whose maps are similarities. We say that a self-similar set satisfies the common point property if the intersection of images of the attractor under the maps of the IFS is a singleton and this point has a common pre-image, under the maps of the IFS, and the pre-image is in the attractor.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:69:y:2014:i:c:p:117-128

DOI: 10.1016/j.chaos.2014.09.011

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