Open Access
2015 Contractive function systems, their attractors and metrization
Taras Banakh, Wiesław Kubiś, Natalia Novosad, Magdalena Nowak, Filip Strobin
Topol. Methods Nonlinear Anal. 46(2): 1029-1066 (2015). DOI: 10.12775/TMNA.2015.076

Abstract

In this paper we study the Hutchinson-Barnsley theory of fractals in the setting of multimetric spaces (which are sets endowed with point separating families of pseudometrics) and in the setting of topological spaces. We find natural connections between these two approaches.

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Taras Banakh. Wiesław Kubiś. Natalia Novosad. Magdalena Nowak. Filip Strobin. "Contractive function systems, their attractors and metrization." Topol. Methods Nonlinear Anal. 46 (2) 1029 - 1066, 2015. https://doi.org/10.12775/TMNA.2015.076

Information

Published: 2015
First available in Project Euclid: 21 March 2016

zbMATH: 1360.28007
MathSciNet: MR3494982
Digital Object Identifier: 10.12775/TMNA.2015.076

Rights: Copyright © 2015 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.46 • No. 2 • 2015
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