The Unique Existence of Additive Selection Maps for a Weak Subadditive Set-valued Map

In this paper, we discuss the unique existent problems of a additive selection map for the following map F:X→P0(Y):F(r∑i=1αixi)■r∑i=1αiF(xi),■xi∈K,i=1, · · · , r,where αi and αi (i = 1, · · · , r) are all non-negative real numbers.