Geodesic
Approximate properties of sets in Banach spaces
Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 593-604.

Voir la notice de l'article provenant de la source Math-Net.Ru

Various generalizations of the notion of “sun” are considered and connections among them are established. A series of results from works of the author on Chebyshev sets are restated in new terms. It is proved that a Chebyshev set with a continuous metric projection is convex in a smooth reflexive space. 
@article{MZM_1970_7_5_a7,
     author = {L. P. Vlasov},
     title = {Approximate properties of sets in {Banach} spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {593--604},
     publisher = {mathdoc},
     volume = {7},
     number = {5},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a7/}
}
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L. P. Vlasov. Approximate properties of sets in Banach spaces. Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 593-604. http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a7/