FAMILIES OF ITERATED FUNCTION SYSTEMS. CONVERGENCES PROPERTIES OF THE ASSOCIATED ATTRACTORS AND FRACTAL MEASURES

Stefania Constantinescu,Ion Mierlus-Mazilu,Lucian Nita

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS（2022）

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摘要

In this paper, we consider a sequence of iterated function system (I.F.S.), which is built using a finite family of contractions and a sequence of linear and contin-uous operators. We study the problem of the convergence for the sequence of attractors and fractal measures associated to the sequence I.F.S. We also study the case of vector fractal measures. Some examples are, also, provided.

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关键词

Iterated function system, attractor, fractal measure, vector measure, weak convergences of operators

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