Pareto optimization in topological vector spaces (Q705290)

The principal aim of this paper is to show that in a general linear topological space, partially ordered by a (not necessarily pointed) pseudo-nuclear correct convex cone, every nonempty set satisfying certain mild assumptions possesses efficient points and, moreover, the domination property holds (i.e., every point in the set is dominated by some efficient point). Several related existence results are presented and a characterization of pseudo-nuclear cones is given in terms of normality.