A new ABB theorem in normed vector spaces
Alfred Göpfert, Chr. Tammer, Constantin Zălinescu · Optimization · 2004
We extend the Arrow, Barankin and Blackwell (ABB) theorem for Henig efficient points for nonconvex sets in normed vector spaces. The novelty of our result is especially represented by the fact that we do not assume compactness of the set; in fact it can be an unbounded asymptotically compact set. Our result subsumes several generalizations of this important theorem.