On Pli\'{s} metric on the space of strictly convex compacta

Autor: Balashov, Maxim V., Repovš, Dušan
Rok vydání: 2011
Předmět:
Zdroj: Journal of Convex Analysis 19:1 (2012), 171-183
Druh dokumentu: Working Paper
Popis: We consider a certain metric on the space of all convex compacta in $\R^{n}$, introduced by A. Pli\'s. The set of strictly convex compacta is a complete metric subspace of the metric space of convex compacta with respect to this metric. We present some applications of this metric to the problems of set-valued analysis, in particular we estimate the distance between two compact sets with respect to this metric and to the Hausdorff metric.
Databáze: arXiv