Blaschke-type theorem and separation of disjoint closed geodesic convex sets

DOI10.1007/s10957-011-9868-5zbMath1242.52002OpenAlexW2016037484WikidataQ57659440 ScholiaQ57659440MaRDI QIDQ662859

Juan-Miguel Gracia

Publication date: 13 February 2012

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-011-9868-5

zbMATH Keywords

extension of Blaschke's theoremextension of the separation theoremgeodesic convex sets

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Curves in Euclidean and related spaces (53A04) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (2)

Unnamed Item ⋮ Finding shortest paths in a sequence of triangles in 3D by the method of orienting curves

Cites Work

• Computing the geodesic center of a simple polygon
• The furthest-site geodesic Voronoi diagram
• Smooth nonlinear optimization of \(\mathbb R^n\)
• Computing geodesic furthest neighbors in simple polygons
• Euclidean shortest paths in the presence of rectilinear barriers
• Methods for optimizing over the efficient and weakly efficient sets of an affine fractional vector optimization program
• Some Computational Aspects of Geodesic Convex Sets in a Simple Polygon
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