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A generic result in vector optimization

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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Correspondence to Alexander J Zaslavski.

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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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Keywords

  • Generic Result
  • Minimization Problem
  • Closed Subset
  • Vector Optimization
  • Baire Category
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