Arcwise Connectedness of Efficient Sets

Let E be a topological vector space and C a pointed closed convex cone. For a set Q in E we prove arcwise connectedness of the efficient point set Max(Q|C) between any two points of a closed set M⊂Max(Q|C) with a compact closed convex hull and having certain additional property. An application to a class of non-convex in general sets is given. The method generalizes the one from [6] concerning compact convex sets and allows also for such sets to obtain a more general result.