Shortest curves in proximally smooth sets: existence and uniqueness

DOI10.1007/S11228-024-00735-1MaRDI QIDQ6661768

Grigory M. Ivanov, G. E. Ivanov, Mariana S. Lopushanski

Publication date: 13 January 2025

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

zbMATH Keywords

curvatureintrinsic metricweak convexityproximally smooth set

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Existence theories for problems in abstract spaces (49J27)

Cites Work

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• Ball-polyhedra
• Rectifiable curves in proximally smooth sets
• Sharp estimates for the moduli of continuity of metric projections onto weakly convex sets
• The Proximal Normal Formula in Banach Space
• Local differentiability of distance functions
• Hypomonotonicity of the normal cone and proximal smoothness
• Weakly convex and proximally smooth sets in Banach spaces
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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