Strict convexity in M-spaces

DOI10.1007/BF01224232zbMath0684.54019OpenAlexW2001589972MaRDI QIDQ1825465

Grattan P. Murphy, Edward Z. Andalafte, Raymond W. Freese

Publication date: 1989

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224232

zbMATH Keywords

strict convexityChebyshev setM-spacemonotonicity of the distance functionproximinal convex subset

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (3)

Best approximation in metric spaces ⋮ Average distance constants for polygons in spaces with non-positive curvature ⋮ Remarks on balls in metric spaces

Cites Work

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• Criteria for unique metric lines
• Characterization of inner product spaces in V- and L-spaces
• Strictly convex spheres in V-spaces
• Best Approximation in Metric Spaces
• Criteria for Unique Metric Lines in Banach Spaces

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