Motivated by applications to optimization and control theory, modern analysis has shown an increasing interest in set-valued maps, to which most of the known results for single-valued maps can be adapted. In this chapter, we provide a quick introduction to set-valued analysis aiming to deduce a classical theorem which guarantees the existence of a measurable selection.
CITATION STYLE
Cannarsa, P., & D’Aprile, T. (2015). Set-valued functions. In UNITEXT - La Matematica per il 3 piu 2 (Vol. 89, pp. 271–277). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-17019-0_9
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