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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.