Abstract: This paper deals with Fritz-John and Kuhn-Tucker conditions of the set-valued optimization in the sense of super efficiency in Hausdorff locally convex vector space. First the authors introduce the concept of lower semidifferentiability and then give the Fritz-John condition and Kuhn-Tucker condition. Finally the authors obtain the sufficient conditions of set-valued optimization problems on super efficiency.

Key words: Set-valued optimization, Optimality conditions, Super efficient solution, Contingent-epiderivative