Radon–Nikodým Theorems for Multimeasures in Non-Separable Spaces

We prove two Radon–Nikodým theorems for multimeasures using set-valued Pettis integrable derivatives. The first one works for dominated strong multimeasures taking convex compact values in a locally convex space. The second one works for strong multimeasures taking bounded convex closed values in a Banach space with the RNP (and for Bochner integral of the Radon–Nikodým derivative as well). The main advantage of our results is the absence of any separability assumptions.