Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images

DOI10.1007/s11006-006-0163-yzbMath1117.52001OpenAlexW2032277136MaRDI QIDQ881130

Maxim V. Balashov, Grigorii E. Ivanov

Publication date: 21 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0163-y

zbMATH Keywords

modulus of continuityset-valued mappingmetric projectionHausdorff distanceweakly convex setsChebyshev layer

Mathematics Subject Classification ID

Set-valued operators (47H04) Axiomatic and generalized convexity (52A01) Realizations from input-output data (93B15) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (8)

Stability of minimization problems and the error bound condition ⋮ Distance function associated to a prox-regular set ⋮ The Lipschitz property of the metric projection in the Hilbert space ⋮ Continuous selections of multifunctions with weakly convex values ⋮ Nonconvex sweeping process with a moving set depending on the state ⋮ PROPERTIES OF TWO SELECTIONS IN METRIC SPACES OF NONPOSITIVE CURVATURE ⋮ The Pliś metric and Lipschitz stability of minimization problems ⋮ Unnamed Item

Cites Work

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• Parametrization of Carathéodory multifunctions
• The continuity of metric projections as functions of the data
• Single-Valued Representation of Set-Valued Mappings II; Application to Differential Inclusions

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