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Best approximation in metric spaces

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Publication:2398966
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DOI10.1515/fascmath-2017-0008zbMath1369.41032OpenAlexW2744103471MaRDI QIDQ2398966

Sahil Gupta, Tulsi Dass Narang

Publication date: 21 August 2017

Published in: Fasciculi Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fascmath-2017-0008


zbMATH Keywords

Chebyshev setstrictly convex metric spaceproximinal setboundedly compact setstrongly approximatively compact set


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)




Cites Work

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  • Strict convexity in M-spaces
  • Best approximation and fixed points in strong \(M\)-starshaped metric spaces
  • Proximinality in Banach spaces
  • Geometric properties of Banach spaces and the existence of nearest and farthest points
  • Proximinality and co-proximinality in metric linear spaces
  • A convexity in metric space and nonexpansive mappings. I.
  • Best Approximation in Metric Spaces
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