Archive for Mathematical Logic 58 (1-2):27-34 (2019)

We show constructively that every quasi-convex, uniformly continuous function \ 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 hyperplane theorem, and a short proof of the constructive fundamental theorem of approximation theory.
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DOI 10.1007/s00153-018-0619-2
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Convexity and Constructive Infima.Josef Berger & Gregor Svindland - 2016 - Archive for Mathematical Logic 55 (7-8):873-881.

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On Farkas' Lemma and Related Propositions in BISH.Josef Berger & Gregor Svindland - 2022 - Annals of Pure and Applied Logic 173 (2):103059.

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