The Pliś metric and Lipschitz stability of minimization problems

DOI10.1070/SM9128zbMath1423.49023OpenAlexW2936447111MaRDI QIDQ5194985

Maxim V. Balashov

Publication date: 17 September 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9128

zbMATH Keywords

Hausdorff metricsupport functionstrong convexityLipschitz continuous gradientPliś metric

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53)

Related Items (3)

Unnamed Item ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Unnamed Item

Cites Work

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• Parametrization of Carathéodory multifunctions
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• Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
• Strong and Weak Convexity of Sets and Functions
• On Pli\'{s} metric on the space of strictly convex compacta
• Uniqueness of optimal trajectories for non-linear control systems
• Strong and Weak Convexity of Closed Sets in a Hilbert Space
• On farthest points of sets

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