Abstract
We shall gather in this chapter some of the results dealing with set-valued maps that we shall need. Only the properties of upper semicontinuous set-valued maps and, among them, the Convergence Theorem 2.4.4, and some notions on the set-valued analogues of continuous linear operators, the closed convex processes are required in the short term. Hence, further results, in particular those dealing with lower semicontinuous criteria and selections of lower semicontinuous maps, are postponed to Chapter 6.
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Aubin, JP. (2009). Set-Valued Maps. In: Viability Theory. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4910-4_4
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DOI: https://doi.org/10.1007/978-0-8176-4910-4_4
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