Geodesic
M-convexity and Best Approximation
Publications de l'Institut Mathématique, _N_S_28 (1980) no. 42, p. 43 
Dipak Chatterjee. M-convexity and Best Approximation. Publications de l'Institut Mathématique, _N_S_28 (1980) no. 42, p. 43 . http://geodesic.mathdoc.fr/item/PIM_1980_N_S_28_42_a5/
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     title = {M-convexity and {Best} {Approximation}},
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The notion of M-convexity is introduced in Metric Spaces. The relations betwen M-convex, strictly M-convex and uniformly M-covex metric spaces are studied. The Best approximation properties for M-convex subsets of metric spaces are considered and many new results derived.