Markov operators on multimeasures

In this paper, we study some IFS Markov operators on set-valued measures (multimeasures). For this, we consider countable additivity with respect to the Minkowski sum of compact and convex sets and countable additivity with respect to (the Hausdorff closure of) unions of compact sets. After defining appropriate metrics and proving completeness, we define several variations on IFS Markov operators on multimeasures and give many examples.

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Year of publication:	2006-06-23
Authors:	Torre, Davide La ; Mendivil, Franklin
Institutions:	Dipartimento di Economia, Management e Metodi Quantitativi (DEMM), Università degli Studi di Milano
Subject:	Iterated function systems \| set valued analysis \| set valued measures

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Extent:	application/pdf
Series:	UNIMI - Research Papers in Economics, Business, and Statistics.
Type of publication:	Book / Working Paper
Notes:	oai:cdlib1:unimi-1031 The text is part of a series UNIMI - Research Papers in Economics, Business, and Statistics Number unimi-1031
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10009324474