Vector subdifferentials via recession mappings∗∗this research was supported by grants from M.U.R.S.T (Itall) and the australian research council.$ef:
Alberto Zaffaroni, M. Glover · Optimization · 1997
A vector subdifferential is defined for a class of directionally differentiable mappings between ordered topological vector spaces. The method used to derive the subdifferential is based on the existcnce of a recession mapping for a positively homogeneous operator. The properties of the recession mapping are discussed and they are shown to he similar to those in the real–valued case. In addition a calculus for the vector subdifferential is developed. Final1y these results are used to develop first order necessary optimality conditions for a class of vector optimization problems involving either proper or weak minimality concepts.