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.
KeywordsGlobal optima Existence of optimal solutions
Mathematics Subject Classification (2010)Primary 49J27 Secondary 90C48
© Springer-Verlag Berlin Heidelberg 2012