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A generic result in vector optimization

Journal of Inequalities and Applications volume 2006, Article number: 54027 (2006) Cite this article

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

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Authors and Affiliations

  1. Department of Mathematics, The Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Alexander J Zaslavski

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  1. Alexander J Zaslavski
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Correspondence to Alexander J Zaslavski.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zaslavski, A.J. A generic result in vector optimization. J Inequal Appl 2006, 54027 (2006). https://doi.org/10.1155/JIA/2006/54027

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  • DOI: https://doi.org/10.1155/JIA/2006/54027

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