The circle as an attractor of an iterated function system on the plane
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.332, sa.1, ss.735-740, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 332 Sayı: 1
- Basım Tarihi: 2007
- Doi Numarası: 10.1016/j.jmaa.2006.10.067
- Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.735-740
- Anahtar Kelimeler: iterated function system, self-similarity
- Anadolu Üniversitesi Adresli: Evet
Özet
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.