Abstract:

The strict efficiency of setvalued optimization was considered in real normed spaces. When both objective function and constraint function were concave, Fritz John type necessary optimality condition was established for setvalued optimization problem with constraint to attain its strict maximal solution with higherorder derivatives and  separation theorem for convex sets. With the properties of base functional and the constructive method, sufficient optimality condition was also derived.

Key words: strictly efficient solution； mth-order adjacent derivative； setvalued optimization