Geodesic
Sufficient convexity and best approximation
Documenta mathematica, Tome 29 (2024) no. 6, pp. 1269-1279

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Working constructively throughout, we introduce the notion of sufficient convexity for functions and sets and study its implications on the existence of best approximations of points in sets and of sets mutually.
DOI : 10.4171/dm/985
Classification : 03F60, 46S30
Mots-clés : constructive analysis, sufficiently convex functions, sufficiently convex sets, best approximation, uniform rotundity 
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Josef Berger; Douglas S. Bridges; Gregor Svindland. Sufficient convexity and best approximation. Documenta mathematica, Tome 29 (2024) no. 6, pp. 1269-1279. doi: 10.4171/dm/985

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