The completion of the space of convex, bounded sets with respect to the Demyanov metric

DOI10.1515/dema-2013-0433zbMath1290.52004OpenAlexW294927823MaRDI QIDQ4916769

Andrzej Lesniewski, Tadeusz Rzeżuchowski, Jerzy Grzybowski

Publication date: 25 April 2013

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0433

zbMATH Keywords

Hausdorff metricDemyanov metriccompletion of metric spacesconvex and bounded sets

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Comparative properties of three metrics in the space of compact convex sets
• Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday
• Differences of convex compact sets in the space of directed sets. I: The space of directed sets
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