Geodesic
On the Farthest Points in Convex Metric Spaces and Linear Metric Spaces
Publications de l'Institut Mathématique, _N_S_95 (2014) no. 109, p. 229 .

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

We prove some results on the farthest points in convex metric spaces and in linear metric spaces. The continuity of the farthest point map and characterization of strictly convex linear metric spaces in terms of farthest points are also discussed.
Classification : 46B20 46B99 46C15 46C99 41A65
Keywords: Chebyshev centre, convex metric space, externally convex metric space, farthest point, farthest point map, $M$-space, strictly convex linear metric space, remotal set, uniquely remotal set 
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     title = {On the {Farthest} {Points} in {Convex} {Metric} {Spaces} and {Linear} {Metric} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
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     number = {109},
     year = {2014},
     language = {en},
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Sangeeta ; T. D. Narang. On the Farthest Points in Convex Metric Spaces and Linear Metric Spaces. Publications de l'Institut Mathématique, _N_S_95 (2014) no. 109, p. 229 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_95_109_a17/