On the Continuity of the Hutchinson Operator

On the Continuity of the Hutchinson Operator

We investigate when the Hutchinson operator associated with an iterated function system is continuous. The continuity with respect to both the Hausdorff metric and Vietoris topology is carefully considered. An example showing that the Hutchinson operator on the hyperspace of nonempty closed bounded...

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Bibliographic Details
Main Authors: Michael F. Barnsley, Krzysztof Leśniak
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Symmetry
Subjects:
iterated function system
Hutchinson operator
multifunction
boundedly uniformly continuous map
upper semicontinuity
strict attractor
Vietoris continuity
compact-open topology
Online Access:http://www.mdpi.com/2073-8994/7/4/1831

Internet

http://www.mdpi.com/2073-8994/7/4/1831

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