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arXiv · 1112.4166

On Pliś metric on the space of strictly convex compacta

Maxim V. Balashov·Dušan Repovš
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Abstract

We consider a certain metric on the space of all convex compacta in $\R^{n}$, 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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BibTeXRIS

Maxim V. Balashov, Dušan Repovš. 2011-12-18. On Pliś metric on the space of strictly convex compacta. https://arxiv.org/abs/1112.4166

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