A farthest-point characterisation of the relative Chebyshev centre

DOI10.1017/S0004972700015045zbMath0886.46016OpenAlexW2055320233MaRDI QIDQ4346956

Michael Prophet, J. Shi, Robert Huotari

Publication date: 5 August 1997

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

Full work available at URL: https://doi.org/10.1017/s0004972700015045

zbMATH Keywords

compact subsetreal Banach spaceChebyshev radiusGâteaux derivativedistance to farthest pointsrelative Chebyshev centre

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Related Items (2)

Unnamed Item ⋮ CONSTRAINED OPTIMAL LOCATION

Cites Work

• Relative Chebyshev centers in normed linear spaces. I
• An algorithm for finding the Chebyshev center of a convex polyhedron
• Circumspheres and Inner Products.
• The best possible net and the best possible cross-section of a set in a normed space

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