Abstract
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.
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Mierlus-Mazilu, I., Nită, L. (2024). Sequences of Uncountable Iterated Function Systems: The Convergence of the Sequences of Fractals and Fractal Measures Associated. In: Gayoso MartÃnez, V., Yilmaz, F., Queiruga-Dios, A., Rasteiro, D.M., MartÃn-Vaquero, J., MierluÅŸ-Mazilu, I. (eds) Mathematical Methods for Engineering Applications. ICMASE 2023. Springer Proceedings in Mathematics & Statistics, vol 439. Springer, Cham. https://doi.org/10.1007/978-3-031-49218-1_4
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DOI: https://doi.org/10.1007/978-3-031-49218-1_4
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