Hausdorff Distance and Convex Sets
Journal of convex analysis, Tome 14 (2007) no. 1, pp. 109-117
Cet article a éte moissonné depuis la source Heldermann Verlag
If A and B are two bounded, closed, non-empty, and convex subsets of a normed space X, then the Hausdorff distance between A and B is the same as the Hausdorff distance between the boundary of A and the boundary of B.
Classification :
52A07
Mots-clés : Hausdorff distance, convex sets
Mots-clés : Hausdorff distance, convex sets
@article{JCA_2007_14_1_JCA_2007_14_1_a8,
author = {M. D. Wills},
title = {Hausdorff {Distance} and {Convex} {Sets}},
journal = {Journal of convex analysis},
pages = {109--117},
year = {2007},
volume = {14},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a8/}
}
M. D. Wills. Hausdorff Distance and Convex Sets. Journal of convex analysis, Tome 14 (2007) no. 1, pp. 109-117. http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a8/