Geodesic
On some properties of quasi convex functions and sets
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 824-837 Cet article a éte moissonné depuis la source Math-Net.Ru

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The connection between quasi convexity and proximal smoothness (also known as low $C^2$ property) of functions is verified. For compact sets, it is proved that the properties of quasi convexity and proximal smoothness are equivalent. The Bouligand cones of tangent directions for the sets that are defined by convex functions are constructed.
Keywords: multi-valued map, star set, proximal smooth set, low $C^2$ property
Mots-clés : quasi convex set, tangent cone. 
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R. A. Khachatryan. On some properties of quasi convex functions and sets. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 824-837. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a25/

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