Continuity of generalized metric projections in Banach spaces

DOI10.1007/s13398-017-0453-0zbMath1409.41016OpenAlexW2763400230MaRDI QIDQ1736966

Yu Zhou, Chun Yan Liu, Zi Hou Zhang

Publication date: 26 March 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0453-0

zbMATH Keywords

continuitymetric projectionproximinal setHausdorff (Wijsman) convergencenearly strongly (very) convex spaceproperty S (WS)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces ⋮ Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces

Cites Work

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• Convergence theorems for best approximations in a nonreflexive Banach space
• Some generalizations of locally uniform rotundity
• Proximinality in Banach spaces
• A Generalization of Uniformly Rotund Banach Spaces

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