Fixed points of the Barnsley-Hutchinson operators induced by hyper-condensing maps

The aim of this note is to show that the Barnsley-Hutchinson operator, induced by either single h-bounded hyper-condensing map or a compact infinite family of such maps, admits a maximal fixed point and global attractor.<br />Under suitable continuity conditions both fixed point and attractor...

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Bibliographic Details
Main Author: Krzysztof Leśniak
Format: Article
Language:English
Published: Università degli Studi di Catania 2005-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/139