ATTRACTORS OF INFINITE ITERATED FUNCTION SYSTEMS CONTAINING CONTRACTION TYPE FUNCTIONS

被引：9

作者：

Dumitru, Dan ^{[1
]}

机构：

[1] Univ Bucharest, Bucharest, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2013年 / 59卷 / 02期

关键词：

infinite iterated function system; contraction; attractor; (epsilon; phi)-function; strong Meir-Keeler function; connectedness; CONNECTIVITY; FRACTALS; SPACE;

D O I：

10.2478/v10157-012-0044-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a complete e-chainable metric space (X, d) and an infinite iterated function system (IIFS) formed by an infinite family of (epsilon, phi)-functions on X. The aim of this paper is to prove the existence and uniqueness of the attractors of such infinite iterated systems (IIFS) and to give some sufficient conditions for these attractors to be connected. Similar results are obtained in the case when the IIFS is formed by an infinite family of uniformly epsilon-locally strong Meir-Keeler functions.

引用

页码：281 / 298

页数：18

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