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Subadditive set-valued functions. (English) Zbl 0617.26010
A set-valued function \(F:[0,\infty)\to 2^ Y\), where Y is a normed space, is said to be subadditive if \(F(s+t)\subset F(s)+F(t)\) for all \(s,t\in [0,\infty)\). The author proves that if a subadditive function F with compact, convex and non-empty values is measurable, then there exists a non-empty set A such that \(tA\subset F(t)\), \(t\in [0,\infty)\).
Reviewer: K.Nikodem

MSC:
26E25 Set-valued functions
39B72 Systems of functional equations and inequalities
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