A SUFFICIENT MINIMALITY CONDITION FOR CONVEX COMPOSITE FUNCTIONS
We present a sufficient minimality condition for convex composite functions. Its proof makes use of a compactness property of subdifferentials and requires, however, neither the continuity of the convex function nor the restriction on Banach spaces. Moreover, with the addition of those assumptions, we obtain variations of this condition.
convex composite function, sub-differential, sharp minimum, sufficient minimality condition.
