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

被引：5

作者：

Demir, Bunyamin ^{[1
]}

Dzhafarov, Vakif ^{[1
]}

Kocak, Sahin ^{[1
]}

Ureyen, Mehmet ^{[1
]}

机构：

[1] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 01期

关键词：

iterated function system; self-similarity;

D O I：

10.1016/j.jmaa.2006.10.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：735 / 740

页数：6

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