Glasnik Matematicki, Vol. 36, No.1 (2001), 11-16.

ADDITIVE SELECTIONS OF (α,β)-SUBADDITIVE SET VALUED MAPS

Dorian Popa

Abstract.   It is proved that an (α, β)-subadditive set valued map with close, convex and equibounded values in a Banach space has exactly one additive selection if α, β are positive numbers and α + β ≠ 1.

1991 Mathematics Subject Classification.   28B20, 54C65.

Key words and phrases.   Set valued map, subadditive, selection.