Convexity and unique minimum points

We show constructively that every quasi-convex, uniformly continuous function f : C → R with at most one minimum point has a minimum point, where C is a convex compact subset of a finite dimensional normed space. Applications include a result on strictly quasi-convex functions, a supporting hyperpla...

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Veröffentlicht in:	Archive for mathematical logic 2019-02, Vol.58 (1-2), p.27-34
Hauptverfasser:	Berger, Josef, Svindland, Gregor
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Continuity (mathematics) Convexity Hyperplanes Mathematical Logic and Foundations Mathematics Mathematics and Statistics Theorems
Online-Zugang:	Volltext
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