Short Communication

Optimization Letters

, Volume 8, Issue 1, pp 391-393

On Weierstrass extreme value theorem

  • Juan Enrique Martínez-LegazAffiliated withDepartament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona Email author 

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Abstract

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.

Keywords

Global optima Existence of optimal solutions

Mathematics Subject Classification (2010)

Primary 49J27 Secondary 90C48