Short Communication

Optimization Letters

, Volume 8, Issue 1, pp 391-393

First online:

On Weierstrass extreme value theorem

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

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.


Global optima Existence of optimal solutions

Mathematics Subject Classification (2010)

Primary 49J27 Secondary 90C48