Geodesic
Chebyshev sets and some generalizations of them
Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 59-69

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In this note we generalize and strengthen certain results contained in [12]. For example, we establish that, in a uniformly convex and smooth Banach space, any locally compact Chebyshev set is convex 
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L. P. Vlasov. Chebyshev sets and some generalizations of them. Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a7/