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

DOI10.2478/s11533-012-0129-0zbMath1364.52004OpenAlexW2064348691MaRDI QIDQ1935654

Tadeusz Rzeżuchowski

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0129-0

zbMATH Keywords

Hausdorff metricconvex setsDemyanov metricsmall changes of sets

Mathematics Subject Classification ID

Complete metric spaces (54E50) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

On a set-valued Young integral with applications to differential inclusions ⋮ Positively homogeneous functions revisited

Cites Work

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• 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
• Uniqueness of optimal trajectories for non-linear control systems
• The completion of the space of convex, bounded sets with respect to the Demyanov metric
• Differences of convex compact sets in the space of directed sets. I: The space of directed sets

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