Remarks on set valued integrals of multifunctions with non empty,bounded, closed and convex values

Here we consider the space cb(X) of all non empty, bounded, closed, convex subsets of a separable space X and we compare the Bochner integral with the Aumann integral when the Radstrom embedding theorem fails to be true. In this paper we obtain coincidence results between the two integrals for totally measurable multifunctions F when X has the Radon-Nikodym property.