Geodesic
On attractors of iterated function systems in uniform spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 151-155.

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove Hutchinson's theorem for uniform spaces, that a finite system $\mathcal{S}$ of $\mathcal{B}$-contractions in complete, well-chained, Hausdorff uniform space defines unique compact attractor.
Keywords: self-similar set, uniform space, $\mathcal{B}$-contraction, asymptotical regularity. 
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M. Samuel; A. V. Tetenov. On attractors of iterated function systems in uniform spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 151-155. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a58/

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