Optimization Letters

, Volume 8, Issue 1, pp 391–393

On Weierstrass extreme value theorem

Short Communication

DOI: 10.1007/s11590-012-0587-0

Cite this article as:
Martínez-Legaz, J.E. Optim Lett (2014) 8: 391. doi:10.1007/s11590-012-0587-0


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 optimaExistence of optimal solutions

Mathematics Subject Classification (2010)

Primary 49J27Secondary 90C48

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Departament d’Economia i d’Història EconòmicaUniversitat Autònoma de BarcelonaBellaterraSpain