THE EQUIVALENCY BETWEEN BENSON'S PROPER EFFICIENT SOLUTION AND HARTLEY'S FOR NONSMOOTH VECTOR MAXIMIZATION PROBLEMS

摘要

Relations between Hartely's proper efficient solution and Benson's for vector maximization problems (VMP) are discussed. It is pointed out that , in the case of finite dimensional objective space and any nontrivial closed convex domination cone, the above two different proper efficient solutions of (VMP) are equivalent. Their equivalent real-valued maximization problems are obtained, these have generalized Benson's results about the equivalency between Benson's proper efficient solution and Geoffrion's in [1,4].