The circle as an attractor of an iterated function system on the plane |
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Authors: | Bünyamin Demir Vakif Dzhafarov ?ahin Koçak Mehmet Üreyen |
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Institution: | Anadolu University, Mathematics Department, 26470 Eski?ehir, Turkey |
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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 Rn) to be a contraction. A counterexample shows that radial contractiveness is not enough to be a contraction. |
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Keywords: | Iterated function system Self-similarity |
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