Characterizations and Uniqueness of Mutually Nearest Points for Two Sets in Normed Spaces

DOI10.1080/01630563.2013.816855zbMath1293.41020OpenAlexW2139069111MaRDI QIDQ4979788

Xian Fa Luo

Publication date: 19 June 2014

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

Full work available at URL: https://doi.org/10.1080/01630563.2013.816855

zbMATH Keywords

characterizationsolar pointmutually nearest pointsolar pair

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

• On mutually nearest and mutually furthest points of sets in Banach spaces
• Porosity of mutually nearest and mutually furthest points in Banach spaces.
• On well posedness of best simultaneous approximation problems in Banach spaces.
• On well-posed mutually nearest and mutually furthest point problems in Banach spaces
• On mutually nearest and mutually farthest points in reflexive Banach spaces
• On some geometric properties of suns
• Geometric properties of Banach spaces and the existence of nearest and farthest points
• Charakterisierung bester Approximationen in normierten Vektorräumen
• ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS

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