Sequences of Uncountable Iterated Function Systems: The Convergence of the Sequences of Fractals and Fractal Measures Associated

被引：0

作者：

Mierlus-Mazilu, Ion ^{[1
]}

Nita, Lucian ^{[1
]}

机构：

[1] Tech Univ Civil Engn, Bucharest, Romania

来源：

MATHEMATICAL METHODS FOR ENGINEERING APPLICATIONS, ICMASE 2023 | 2024年 / 439卷

关键词：

ATTRACTORS;

D O I：

10.1007/978-3-031-49218-1_4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a sequence of uncountable iterated function system (U.I.F.S.). Each term of this sequence is built using an uncountable family of contractions and a linear and continuous operator. For each U.I.F.S. of the sequence we have an associated attractor, a Markov-type operator and a fractal measure. We study the convergence of the corresponding attractors and fractal measures sequences.

引用

页码：43 / 52

页数：10

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