Characterizations of generalized proximinal subspaces in real Banach spaces

DOI10.1007/s00025-019-1013-zzbMath1423.41051OpenAlexW2943682619MaRDI QIDQ2311929

Jicheng Tao, Minxing Wei, Xian Fa Luo

Publication date: 4 July 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1013-z

zbMATH Keywords

Minkowski functionalasymmetric normed spaceproximinal subspacegeneralized best approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

• Generalized projections onto convex sets
• On a generalized best approximation problem
• On well posed generalized best approximation problems
• Derivatives of generalized distance functions and existence of generalized nearest points
• The representation and continuity of a generalized metric projection onto a closed hyperplane in Banach spaces
• Functional Analysis in Asymmetric Normed Spaces
• Anisotropic best τ_C -approximation in normed spaces
• An Introduction to Banach Space Theory
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