Contractive function systems, their attractors and metrization

0453001 - MÚ 2016 RIV PL eng J - Journal Article
Banakh, T. - Kubiś, Wieslaw - Novosad, N. - Nowak, M. - Strobin, F.
Contractive function systems, their attractors and metrization.
Topological Methods in Nonlinear Analysis. Roč. 46, č. 2 (2015), s. 1029-1066. ISSN 1230-3429. E-ISSN 1230-3429
R&D Projects: GA ČR(CZ) GA14-07880S
Institutional support: RVO:67985840
Keywords : fractal * attractor * iterated function system * contracting function system
Subject RIV: BA - General Mathematics
Impact factor: 0.717, year: 2015
http://www.apcz.pl/czasopisma/index.php/TMNA/article/view/TMNA.2015.076

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.
Permanent Link: http://hdl.handle.net/11104/0253887