ABSTRACT
Apart from semi-continuous multivalued mappings, multivalued measurable mappings will be of great importance in what follows. Throughout this section, assume that X is a separable metric space and (Ω,U , µ) is a complete σ−finite measurable space, i.e. a set Ω equipped with σ-algebra U of subsets and a countably additive measure µ on U . A typical example is when Ω is a bounded domain in the Euclidean space Rk equipped with the Lebesgue measure.
