Im-Quasi Upward Sets, with Their Best Approximations

DOI10.1080/01630563.2010.519135zbMath1215.41010OpenAlexW2046043445MaRDI QIDQ3068657

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Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.519135

zbMATH Keywords

best approximationproximinal setdownward setupward set\(I_m\)-quasi downward hull\(I_m\)-quasi downward set\(I_m\)-quasi upward hull\(I_m\)A-quasi upward setBanach lattice space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25) Ordered normed spaces (46B40)

Cites Work

• New results for best approximation on Banach lattices
• Downward sets and their separation and approximation properties
• TWO POROSITY RESULTS IN MONOTONIC ANALYSIS
• Best approximation by normal and conormal sets
• Abstract convexity and global optimization
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