The representation and continuity of a generalized metric projection onto a closed hyperplane in Banach spaces

DOI10.1155/2013/504076zbMath1303.46016OpenAlexW2032462663WikidataQ58916935 ScholiaQ58916935MaRDI QIDQ2015677

Xian Fa Luo, Jian Yong Wang

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/504076

zbMATH Keywords

generalized best approximationgeneralized metric projection

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

Characterizations of generalized proximinal subspaces in real Banach spaces

Cites Work

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• Generalized projections onto convex sets
• Convexities and approximative compactness and continuity of metric projection in Banach spaces
• On a generalized best approximation problem
• On well posed generalized best approximation problems
• Derivatives of generalized distance functions and existence of generalized nearest points
• Anisotropic best τ_C -approximation in normed spaces
• On drop property and nearly uniformly smooth banach spaces