On the Closeness and Connectedness of the Set of Efficient Points

Abstract:

      Let A be a subset in a locally convex space X and C be a closed convex cone withcusp condition。Denote by E(A\C)the set of efficient points of the set A with respect toC. Suppose that A is a compact F-set not necessarily convex。We obtain some resultson the closeness of the set of efficient points。Furthermore,we prove that under someadequate convex assurnptions the set S(A\C)is connected.