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Orthogonality in smooth countably normed spaces

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Publication:2072776
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DOI10.1186/s13660-020-02531-5zbMath1504.46017OpenAlexW3126747501MaRDI QIDQ2072776

Nashat Faried, Sarah Tawfeek, Hany A El-Sharkawy

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02531-5

zbMATH Keywords

metric projectionnormalized duality mappingBirkhoff orthogonalitycountably normed space\(J\)-dual cone\(J\)-orthogonal complement\(J\)-orthogonalityprojection theorem in a countably normed spaceuniformly convex countably normed space


Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Locally convex Fréchet spaces and (DF)-spaces (46A04)


Related Items

The generalized projection methods in countably normed spaces



Cites Work

  • Unnamed Item
  • A strong convergence theorem for relatively nonexpansive mappings in a Banach space
  • A theorem on duality mappings in Banach spaces
  • The projection methods in countably normed spaces
  • Geometric properties of Banach spaces and nonlinear iterations
  • Strong Convergence of a Proximal-Type Algorithm in a Banach Space
  • Positivity of duality mappings
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