Abstract:

The super efficient solution of set-valued optimization is considered in real normed spaces. For a specific set, its super efficient points set is obtained by direct calculation. Without any convexity assumption, by employing Henig dilating cone, the generalized higher-order derivative necessary condition is established for set-valued optimization problem to attain its super efficient solutions.

Key words: super efficient solution; generalized mth-order contingent derivative; set-valued optimization