Rectifiable curves in proximally smooth sets

DOI10.1007/s11228-021-00612-1zbMath1495.52002arXiv2012.10691OpenAlexW3207047406MaRDI QIDQ2670984

Mariana S. Lopushanski, Grigorii E. Ivanov

Publication date: 3 June 2022

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

Full work available at URL: https://arxiv.org/abs/2012.10691

zbMATH Keywords

geodesicssmoothness modulusproximally smooth setsrectifible curves

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Cites Work

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• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• Weakly convex sets and modulus of nonconvexity
• Geometry of Banach spaces. Selected topics
• New moduli for Banach spaces
• Effective Reifenberg theorems in Hilbert and Banach spaces
• Weakly convex sets and their properties
• Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties
• Strong and Weak Convexity of Sets and Functions
• Curvature Measures
• Sharp estimates for the moduli of continuity of metric projections onto weakly convex sets
• Local differentiability of distance functions
• Hypomonotonicity of the normal cone and proximal smoothness
• Convex hull deviation and contractibility
• Weakly convex and proximally smooth sets in Banach spaces

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