The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a reflexive Banach space partially ordered by a Bishop--Phelps cone.

## Citation

Department of Industrial Engineering, Anadolu University, Eskisehir, TUrkey

## Article

View A Generalization of a Theorem of Arrow, Barankin and Blackwell to a Nonconvex Case