International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 64, Pages 3469-3483
doi:10.1155/S0161171204203337
Efficiency and Choquet boundaries in separated locally convex spaces
Faculty of Sciences, Romanian Academy of Scientists - Bacău State University, Bacău 600115, Romania
Received 10 March 2002
Copyright © 2004 Vasile Postolică. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This research paper is devoted to the study of the properties for
Pareto-type efficient point sets in separated locally convex
spaces, based upon an earlier result on the
coincidence of Pareto-type efficient point sets and the Choquet
boundaries and the natural corresponding extension for the
approximate efficient point sets in Hausdorff locally convex
spaces. Both of these results represent an important connection
between two great fields of mathematics: vector optimization and
potential theory.