The generalized entropy in the generalized topological spaces

The generalized entropy (and its properties) of maps f:exp(X)→exp(X), usual functions and multifunctions in a generalized topological space X are studied. Moreover, the connection between generalized entropy and standard entropy for usual functions in a compact metric space is shown.

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Bibliographic Details
Published in:Topology and its applications 2012-04, Vol.159 (7), p.1734-1742
Main Authors: Pawlak, Ryszard J., Loranty, Anna
Format: Article
Language:English
Subjects:
Generalized entropy
Generalized topology
Multivalued function
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Description
Summary:The generalized entropy (and its properties) of maps f:exp(X)→exp(X), usual functions and multifunctions in a generalized topological space X are studied. Moreover, the connection between generalized entropy and standard entropy for usual functions in a compact metric space is shown.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2011.05.043