The Demyanov metric and some other metrics in the family of convex sets

• Autorzy: Tadeusz Rzeżuchowski
• Języki publikacji: EN

Abstrakty

EN

We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.

Słowa kluczowe

EN

Demyanov metric; Hausdorff metric; Convex sets; Small changes of sets

Kategorie tematyczne

• 58C06: Set valued and function-space valued mappings
• 54E50: Complete metric spaces
• 52A20: Convex sets in n dimensions (including convex hypersurfaces)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2229-2239

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Tadeusz Rzeżuchowski

• Faculty of Mathematics & Information Science, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0129-0