Barycentric selectors and a Steiner-type point of a convex body in a Banach space
type: Item
instance of: scholarly article
title: Barycentric selectors and a Steiner-type point of a convex body in a Banach space
zbMATH Open document ID: 1065.47046
DOI: 10.1016/S0022-1236(03)00211-8
author: Yanyan Li
published in: Journal of Functional Analysis
publication date: 2004-08-16T00:00:00Z
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 54C65
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 52A07
zbMATH DE Number: 2091737
zbMATH Keywords: set-valued mapping
zbMATH Keywords: Lipschitz selection
zbMATH Keywords: Helly-type theorems
zbMATH Keywords: Steiner point
zbMATH Keywords: barycenter
MaRDI profile type: Publication
cites work: Q4863175
cites work: Extensions of Lipschitz selections and an application to differential inclusions
cites work: Q3324260
cites work: Set-valued analysis
cites work: Q4938152
cites work: Q3764803
cites work: Q4317270
cites work: The trace of jet space 𝐽^{𝑘}Λ^{𝜔} to an arbitrary closed subset of ℝⁿ
cites work: Whitney's extension problem for multivariate \(C^{1,\omega}\)-functions
cites work: Q4039749
cites work: Q5341481
cites work: Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces
cites work: Q5547252
cites work: Q5791470
cites work: On nonlinear projections in Banach spaces
cites work: The Lipschitz constants of the metric ε-projection operator in spaces with given modules of convexity and smoothness
cites work: TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY
cites work: Q3344608
cites work: Q4084778
cites work: Continuity properties of selectors and Michael's theorem
cites work: Lipschitz retracts, selectors, and extensions
cites work: Concepts of lower semicontinuity and continuous selections for convex valued multifunctions
cites work: Q4722738
cites work: A valuation property of Steiner points
cites work: On Steiner points of convex bodies
cites work: Krümmungsschwerpunkte konvexer Körper. I. (Barycenters of curvature of convex bodies. I.)
cites work: Q5287551
cites work: The Steiner Point of a Convex Polytope
cites work: Metrics for sets of convex bodies
cites work: Q3772725
cites work: Q4891401
cites work: On Lipschitz selections of affine-set valued mappings
cites work: Lipschitz selections of set-valued mappings and Helly's theorem
cites work: Q5595759
cites work: The Steiner point in infinite dimensions
description: scientific article; zbMATH DE number 2091737