On Weierstrass extreme value theorem

Juan Enrique Martínez-Legaz

doi:https://doi.org/10.1007/s11590-012-0587-0

On Weierstrass extreme value theorem

Juan Enrique Martínez-Legaz

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

14 Citations (Scopus)

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. © 2012 Springer-Verlag Berlin Heidelberg.

Original language	English
Pages (from-to)	391-393
Journal	Optimization Letters
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/s11590-012-0587-0
Publication status	Published - 1 Jan 2014

Keywords

Existence of optimal solutions
Global optima

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On Weierstrass extreme value theorem

Abstract

Keywords

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