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Markov operators on multimeasures

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Author Info
Davide La Torre (University of Milan)
Franklin Mendivil

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Abstract

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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Publisher Info
Paper provided by Universitá degli Studi di Milano in its series UNIMI - Research Papers in Economics, Business, and Statistics with number 1031.

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Date of creation: 23 Jun 2006
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Handle: RePEc:bep:unimip:1031

Note: oai:cdlib1:unimi-1031
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Related research
Keywords: Iterated function systems; set valued analysis; set valued measures;

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