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On Pliś metric on the space of strictly convex compacta
Balashov, Maxim V. ; Repovš, Dušan, 1954-
We consider a certain metric on the space of all convex compacta in ▫$\mathbb{R}^n$▫, introduced by A. Pliś. 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.
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