Best Approximation in Metric Spaces

DOI10.2307/2047182zbMath0652.51019OpenAlexW4250628735MaRDI QIDQ3797786

Roshdi Khalil

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047182

zbMATH Keywords

proximinalityM-spaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Distance geometry (51K99) General theory of distance geometry (51K05)

Related Items

Ordered convex metric spaces ⋮ Best approximation in metric spaces ⋮ Ordered uniform convexity in ordered convex metric spaces with an application to fixed point theory ⋮ Uniformly convex in Orlicz space equipped with the Mazur-Orlicz \(F\)-norm ⋮ Fixed point, approximate fixed point and Kantorovich--Rubinstein maximum principle in convex metric spaces ⋮ Unnamed Item ⋮ Remarks on balls in metric spaces ⋮ Strong Proximinality in Metric Spaces ⋮ Strict convexity in M-spaces ⋮ Intersecting sets in midsets spaces. II

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Best Approximation on Convex Sets in Metric Linear Spaces
• Characterizations of metric spaces by the use of their midsets: intervals
• Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)
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