Generic Existence of Solutions in Vector Optimization on Metric Spaces

A. J. Zaslavski ()
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A. J. Zaslavski: Technion

Journal of Optimization Theory and Applications, 2008, vol. 136, issue 1, No 11, 139-153

Abstract: Abstract In this paper, we study a class of vector minimization problems on a complete metric space X which is identified with the corresponding complete metric space of objective functions $\mathcal{A}$ . We do not impose any compactness assumption on X. We show that, for most (in the sense of Baire category) functions $F\in \mathcal{A}$ , the corresponding vector optimization problem has a solution.

Keywords: Complete metric spaces; Generic properties; Minimal elements (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9304-z

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