The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.

This paper introduces Rdstrm embedding theorem,on this basis,defines the conception of π-differentiable and conically differentiable, discusses the relation between π-differentiable,conically differentiable,and Hukuhara differentiable,and gets important results.

The cone super subdifferential stability of multiobjective programming with a perturbed order;