Abstract
This chapter is devoted to basic notions of the theory of set-valued mappings and set-valued stochastic processes. We begin with the notions and basic properties of the space of subsets of a given metric space. Selected properties of set-valued mappings, Aumann integrals, and set-valued stochastic processes are presented. The last two parts of this chapter discuss properties of a set-valued conditional expectation and selection properties of set-valued integrals depending on random parameters.
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