Markov operators on multimeasures

Davide La Torre and Franklin Mendivil

No unimi-1031, UNIMI - Research Papers in Economics, Business, and Statistics from Universitá degli Studi di Milano

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.

Keywords: Iterated function systems; set valued analysis; set valued measures (search for similar items in EconPapers)
Date: 2006-06-23
Note: oai:cdlib1:unimi-1031
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Citations: View citations in EconPapers (1)

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