Abstract:

A secondorder derivative for setvalued maps was proposed and its properties were discussed. By means of this derivative and secondorder contingent derivative, some secondorder necessary optimality conditions were established for constrained setvalued optimization problems. And some secondorder sufficient optimality conditions were obtained for constrained set
valued optimization problems in finitedimensional normed spaces.

Key words: secondorder contingent set, asymptotic secondorder contingent derivative, setvalued optimization, optimality condition