On Weierstrass extreme value theorem

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We show that suitable restatements of the classical Weierstrass extreme value theorem give necessary and sufficient conditions for the existence of a global minimum and of both a global minimum and a global maximum. © 2012 Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Pages (from-to)391-393
JournalOptimization Letters
Issue number1
Publication statusPublished - 1 Jan 2014


  • Existence of optimal solutions
  • Global optima

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