Nearest and farthest points in spaces of curvature bounded below
type: Item
instance of: scholarly article
title: Nearest and farthest points in spaces of curvature bounded below
zbMATH Open document ID: 1193.53168
author: C. Li
author: Rafa Espínola
author: Genaro López
published in: Journal of Approximation Theory
publication date: 2010-06-25T00:00:00Z
Mathematics Subject Classification ID: 53C70
Mathematics Subject Classification ID: 54E99
Mathematics Subject Classification ID: 51F99
Mathematics Subject Classification ID: 51K05
zbMATH DE Number: 5726593
zbMATH Keywords: nearest and farthest points
zbMATH Keywords: geodesic spaces
zbMATH Keywords: curvature
zbMATH Keywords: \(\sigma\)-porous
zbMATH Keywords: proximinality
MaRDI profile type: Publication
full work available at URL: j.jat.2010.02.007
OpenAlex ID: W2028937643
cites work: Farthest points in reflexive locally uniformly rotund Banach spaces
cites work: Nonconvex Optimization Problems Depending on a Parameter
cites work: Existence theorems for usual and approximate solutions of optimal control problems
cites work: Q3805354
cites work: Porous Sets in Best Approximation Theory
cites work: Q3723051
cites work: On a generalized best approximation problem
cites work: On mutually nearest and mutually furthest points of sets in Banach spaces
cites work: Q4720067
cites work: A course in metric geometry
cites work: Generic existence of solutions for some perturbed optimization problems
cites work: Geometric properties of Banach spaces and the existence of nearest and farthest points
cites work: Farthest points of sets in uniformly convex Banach spaces
cites work: On Nearest Points of Sets in Uniformly Convex Banach Spaces
cites work: Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
cites work: Proximinality in geodesic spaces
cites work: Q3976165
cites work: Sets of points of nonemptiness and continuity of the metric projection
cites work: Q3907986
cites work: Farthest points in weakly compact sets
cites work: Q4183176
cites work: On mutually nearest and mutually farthest points in reflexive Banach spaces
cites work: On generic well-posedness of restricted Chebyshev center problems in Banach spaces
cites work: On well-posed mutually nearest and mutually furthest point problems in Banach spaces
cites work: Porosity of perturbed optimization problems in Banach spaces
cites work: Almost Chebyshev set with respect to bounded subsets
cites work: ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
cites work: Porosity of mutually nearest and mutually furthest points in Banach spaces.
cites work: Existence and porosity for a class of perturbed optimization problems in Banach spaces
cites work: Q5062853
cites work: Well-posedness of a class of perturbed optimization problems in Banach spaces
cites work: Generic well-posedness for perturbed optimization problems in Banach spaces
cites work: On restricted centers of sets
cites work: Q5596489
cites work: The nearest point mapping is single valued nearly everywhere
cites work: On the cut locus in Alexandrov spaces and applications to convex surfaces
cites work: Extending Stechkin's theorem and beyond
DOI: 10.1016/J.JAT.2010.02.007
description: scientific article; zbMATH DE number 5726593