Multivalued fractals and generalized multivalued contractions

被引：32

作者：

Chifu, Cristian ^{[2
]}

Petrusel, Adrian ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania

[2] Dept Business, Fac Business, Cluj Napoca 400174, Romania

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 36卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2006.06.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to report old and new results in the theory of multivalued fractals. We show that the dynamics of an iterated multifunctions system are given by the dynamics of a unique suitable operator. Moreover, some topological properties of the fixed point set of a multivalued operator can be obtained from the properties of the multivalued fractal. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：203 / 210

页数：8

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