The set-valued optimization problem with constraints is considered in the sense of super efficiency in locally convex linear topological spaces.Under the assumption of ic-cone-convexlikeness,by applying the seperation theorem,Kuhn-Tucker's,Lagrange's and saddle points optimality conditions,the necessary conditions are obtained for the set-valued optimization problem to attain its super effcient solutions.Also,the sufficient conditions for Kuhn-Tucker's,Lagrange's and saddle points optimality conditions are derived.