Title of article
The circle as an attractor of an iterated function system on the plane
Author/Authors
Bünyamin Demir ?، نويسنده , , Vakif Dzhafarov، نويسنده , , ¸Sahin Koçak، نويسنده , , Mehmet Ureyen، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
6
From page
735
To page
740
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.
© 2006 Elsevier Inc. All rights reserved
Keywords
Iterated function system , self-similarity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935897
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