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, cilt.332, sa.1, ss.735-740, 2007 (SCI-Expanded) identifier identifier

  • 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.