Densely two-valued metric projections in uniformly convex Banach spaces

DOI10.1007/BF01038600zbMath0830.41028MaRDI QIDQ1902174

Yanyan Li

Publication date: 14 November 1995

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

uniformly convexmetric projectiondense \(G_ \delta\) set

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 (1)

The number of nearest and farthest points to a compactum in Euclidean space.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The nearest point mapping is single valued nearly everywhere
• Weak local supportability and applications to approximation
• Ambiguous loci of the nearest point mapping in Banach spaces
• Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• Existence Of Nearest Points In Banach Spaces
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Compacta with Dense Ambiguous Loci of Metric Projections and Antiprojections
• On compact connected sets in Banach spaces

This page was built for publication: Densely two-valued metric projections in uniformly convex Banach spaces