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arxiv: 1507.06444 · v1 · pith:FGX466YYnew · submitted 2015-07-23 · 🧮 math.FA

An extension of the Birkhoff integrability for multifunctions

classification 🧮 math.FA
keywords birkhoffgivenintegrabilitymultifunctionsassumptionscomparisonextensionfunctionis
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A comparison between a set-valued Gould type and simple Birkhoff integrals of $bf(X)$-valued multifunctions with respect to a non-negative set functionis given. Relationships among them and Mc Shane multivalued integrability is given under suitable assumptions.

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