Ambiguous loci of mutually nearest and mutually furthest points in Banach spaces

DOI10.1016/j.na.2004.04.008zbMath1052.41019OpenAlexW2117708628MaRDI QIDQ1879770

Hong-Kun Xu, Chong Li

Publication date: 23 September 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.04.008

zbMATH Keywords

minimization problemwell-posed

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Porosity of Mutually Nearest and Mutually Furthest Points Problems in Geodesic Space ⋮ Derivatives of generalized farthest functions and existence of generalized farthest points

Cites Work

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• On mutually nearest and mutually farthest points in reflexive Banach spaces
• Existence Of Nearest Points In Banach Spaces
• Convex Optimization and the Epi-Distance Topology
• Compacta with Dense Ambiguous Loci of Metric Projections and Antiprojections

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