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Additive selections of \((\alpha,\beta)\)-subadditive set valued maps. (English) Zbl 1039.28013
Summary: It is proved that an \((\alpha, \beta)\)-subadditive set valued map with closed, convex and equibounded values in a Banach space has exactly one additive selection if \(\alpha\), \(\beta\) are positive numbers and \(\alpha+ \beta\neq 1\).

MSC:
28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections
54C65 Selections in general topology
39B62 Functional inequalities, including subadditivity, convexity, etc.
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