Porosity of Mutually Nearest and Mutually Furthest Points Problems in Geodesic Space

DOI10.1080/01630563.2011.638150zbMath1242.41039OpenAlexW1978828979MaRDI QIDQ2881905

Li Hui Peng

Publication date: 3 May 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.638150

zbMATH Keywords

Geodesic metric space, mutually furthest point, mutuaully nearest point, porosity, Pompeiu-Hausdorff distance

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• On mutually nearest and mutually furthest points of sets in Banach spaces
• Porosity of mutually nearest and mutually furthest points in Banach spaces.
• On the cut locus in Alexandrov spaces and applications to convex surfaces
• Ambiguous loci of mutually nearest and mutually furthest points in Banach spaces
• On well-posed mutually nearest and mutually furthest point problems in Banach spaces
• On mutually nearest and mutually farthest points in reflexive Banach spaces
• Extending Stechkin's theorem and beyond
• ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
• Porous Sets in Best Approximation Theory
• On Nearest Points of Sets in Uniformly Convex Banach Spaces

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