Characterization of bounded sets in terms of asymptotic cones and homotheties

DOI10.1134/S0001434620050077zbMath1442.49028OpenAlexW3046369240MaRDI QIDQ2192142

A. V. Marinov

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620050077

zbMATH Keywords

Banach spacerecession coneasymptotic coneHausdorff distanceHausdorff deviationhomothetybounded subsetrecessively compact set

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

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• Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate
• Convexite des hyperespaces
• Recession cones and asymptotically compact sets
• Recessively compact sets: properties and uses
• Convergence of asymptotic directions
• Metrics for sets of convex bodies

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