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 
@article{PIM_2010_N_S_87_101_a10,
     author = {T. D. Narang and Sangeeta },
     title = {A {Note} on {Suns} in {Convex} {Metric} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {139 },
     publisher = {mathdoc},
     volume = {_N_S_87},
     number = {101},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a10/}
}
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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/