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.
@article{SEMR_2017_14_a58,
author = {M. Samuel and A. V. Tetenov},
title = {On attractors of iterated function systems in uniform spaces},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {151--155},
publisher = {mathdoc},
volume = {14},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a58/}
}
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/