Riemann integral of multivalued function is defined as limit in Hausdorff metric if it doesn't depend of partition. Lebesgue integral is defined as a set of all integrals of selectors for which the Lebesgue integral exists. Is there the same relation between them as for single-valued functions?
Riemann and Lebesgue integrals of multivalued function
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analysis
multivalued-functions