Open Access

A generic result in vector optimization

Journal of Inequalities and Applications20062006:54027

DOI: 10.1155/JIA/2006/54027

Received: 17 November 2005

Accepted: 24 March 2006

Published: 1 June 2006


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 for most (in the sense of Baire category) problems in the class the sets of minimal values are infinite.


Authors’ Affiliations

Department of Mathematics, The Technion-Israel Institute of Technology


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© Alexander J. Zaslavski. 2006

This article is published under license to BioMed Central Ltd. 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.