Geodesic
A Note on Suns in Convex Metric Spaces
Publications de l'Institut Mathématique, _N_S_87 (2010) no. 101, p. 139

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We prove that in a convex metric space $(X,d)$, an existence set $K$ having a lower semi continuous metric projection is a $\delta$-sun and in a complete $M$-space, a Chebyshev set $K$ with a continuous metric projection is a $\gamma$-sun as well as almost convex.
Classification : 41A65
Keywords: Convex metric space, sun, proximinal set, Chebyshev set, almost convex set and lower semi continuous metric projection 
T. D. Narang; Sangeeta . A Note on Suns in Convex Metric Spaces. Publications de l'Institut Mathématique, _N_S_87 (2010) no. 101, p. 139 . http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a10/
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     author = {T. D. Narang and Sangeeta },
     title = {A {Note} on {Suns} in {Convex} {Metric} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {139 },
     year = {2010},
     volume = {_N_S_87},
     number = {101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a10/}
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