On Pli\'{s} metric on the space of strictly convex compacta

zbMath1251.54005arXiv1112.4166MaRDI QIDQ3118679

Dušan D. Repovš, Maxim V. Balashov

Publication date: 5 March 2012

Full work available at URL: https://arxiv.org/abs/1112.4166

zbMATH Keywords

metric spaceset-valued mappinguniform convexitystrict convexitymodulus of convexityHausdorff distancesupporting functionDemyanov distancestrictly convex compactum

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) General convexity (52A99)

Related Items (4)

Unnamed Item ⋮ The Pliś metric and Lipschitz stability of minimization problems ⋮ Unnamed Item ⋮ Young's inequality for convolution and its applications in convex- and set-valued analysis

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