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On Fatou’s lemma and parametric integrals for set-valued functions

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Abstract

In this paper we present new versions of the set-valued Fatou’s lemma for sequences of measurable multifunctions and their conditional expectations. Then we use them to study the continuity and measurability properties of parametrized set-valued integrals.

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Author notes

  1. Nikolaos S. Papageorgiou

    Present address: Department of Applied Mathematics, Florida Institute of Technology, 150, West University Blvd. Melbourne, 32901-6988, Florida, USA

Authors and Affiliations

  1. Department of Mathematical Sciences, National Technical University, Zografou Campus, 157 73, Athens, Greece

    Nikolaos S. Papageorgiou

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  1. Nikolaos S. Papageorgiou
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Papageorgiou, N.S. On Fatou’s lemma and parametric integrals for set-valued functions. Proc. Indian Acad. Sci. (Math. Sci.) 103, 181–195 (1993). https://doi.org/10.1007/BF02837240

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  • DOI: https://doi.org/10.1007/BF02837240

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