Geometric properties of Banach spaces and the existence of nearest and farthest points

DOI10.1155/AAA.2005.259zbMath1100.46005OpenAlexW1984736493MaRDI QIDQ2495005

Ştefan Cobzaş

Publication date: 30 June 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52832

zbMATH Keywords

rotunditysmoothnessfarthest pointsKadec-Klee propertynearest pointsgeneric existence results

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (16)

A new characterization of strict convexity on normed linear spaces ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Best approximation in metric spaces ⋮ \(\mathring{B}\)-complete sets: approximative and structural properties ⋮ The Chebyshev selections and fixed points of set-valued mappings in Banach spaces with some uniform convexity ⋮ Mutually nearest and farthest points of sets and the drop theorem in geodesic spaces ⋮ Computing optimal distances to Pareto sets of multi-objective optimization problems in asymmetric normed lattices ⋮ Proximinality in geodesic spaces ⋮ Proximinality in Banach spaces ⋮ Some remarks on farthest points ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characterizations and Uniqueness of Mutually Nearest Points for Two Sets in Normed Spaces ⋮ Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns ⋮ Ball-complete sets and solar properties of sets in asymmetric spaces

This page was built for publication: Geometric properties of Banach spaces and the existence of nearest and farthest points