Self-contracted curves have finite length

DOI10.1112/jlms.12068zbMath1379.53006arXiv1707.04922OpenAlexW2963892210MaRDI QIDQ5371024

Eugene Stepanov, Yana Teplitskaya

Publication date: 24 October 2017

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04922

zbMATH Keywords

metric spacecurve

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Curves in Euclidean and related spaces (53A04) Dynamical systems in optimization and economics (37N40) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (7)

Unnamed Item ⋮ Ubiquitous algorithms in convex optimization generate self-contracted sequences ⋮ Self-contracted curves are gradient flows of convex functions ⋮ Plane R-curves II ⋮ SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of the zz-distance for Möbius structures on the circle ⋮ Self-contracted curves in CAT(0)-spaces and their rectifiability ⋮ Metric and geometric relaxations of self-contracted curves

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