The circle as an attractor of an iterated function system on the plane


Demir B., Dzhafarov V., Kocak S., Ureyen M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.332, no.1, pp.735-740, 2007 (SCI-Expanded) identifier identifier

Abstract

We give an iterated function system (IFS) on the plane with the circle as attractor. In doing this, we also give a sufficient condition for radially contracting functions on the plane (or on R-n) to be a contraction. A counterexample shows that radial contractiveness is not enough to be a contraction. (C) 2006 Elsevier Inc. All rights reserved.