Best approximation by downward sets with applications

DOI10.1007/BF03218696zbMath1105.41023MaRDI QIDQ3411916

Alexander Rubinov, Hossein Mohebi

Publication date: 30 November 2006

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach latticebest approximationproximinal setChebyshee set

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)

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Cites Work

• Downward sets and their separation and approximation properties
• SUBLINEAR OPERATORS AND THEIR APPLICATIONS
• Topical and sub-topical functions, downward sets and abstract convexity
• TWO POROSITY RESULTS IN MONOTONIC ANALYSIS
• Metric Projection onto a Closed Set: Necessary and Sufficient Conditions for the Global Minimum
• Best approximation by normal and conormal sets
• Abstract convexity and global optimization
• Unnamed Item
• Unnamed Item

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