International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 29135, 10 pages
doi:10.1155/IJMMS/2006/29135
A density result in vector optimization
Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, Israel
Received 21 November 2005; Revised 2 March 2006; Accepted 12 March 2006
Copyright © 2006 Alexander J. Zaslavski. 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
We study a class of vector minimization problems
on a complete metric space such that all its bounded closed
subsets are compact. We show that a subclass of minimization
problems with a nonclosed set of minimal values is dense in
the whole class of minimization problems.