Geodesic
A Note in Approximative Compactness and Continuity of Metric Projections in Banach Spaces
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 397-401

Voir la notice de l'article provenant de la source Heldermann Verlag

We give a counterexample to a recent statement in the metric approximation theory and provide a setting where the statement holds.
Mots-clés : Metric projection, approximative compactness, midpoint locally uniform rotundity, locally uniform rotundity, C-sets, proximinal sets 
@article{JCA_2011_18_2_JCA_2011_18_2_a6,
     author = {A. J. Guirao and V. Montesinos},
     title = {A {Note} in {Approximative} {Compactness} and {Continuity} of {Metric} {Projections} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {397--401},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a6/}
}
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A. J. Guirao; V. Montesinos. A Note in Approximative Compactness and Continuity of Metric Projections in Banach Spaces. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 397-401. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a6/