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