Support points for closed convex sets
type: Item
instance of: scholarly article
zbMATH Open document ID: 0984.46008
author: N. Y. Dehghan
author: K. Norouzi
publication date: 2002-01-07T00:00:00Z
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B22
zbMATH DE Number: 1686474
zbMATH Keywords: closed convex set
zbMATH Keywords: boundary
zbMATH Keywords: extreme set
zbMATH Keywords: nearest point-map
zbMATH Keywords: support point
MaRDI profile type: Publication
title: Support points for closed convex sets
published in: International Journal of Applied Mathematics
review text: The authors of this very short paper consider a closed convex subset \(C\) of Hilbert space \(H\) with the nearest point-map of \(C\). The main result is that if \(K\) is any compact set containing \(C\) in its interior and \(int\) \(C\) is nonempty, then \(p(K)\) is the set of support points of \(C\).
reviewed by: Dimitar A. Kolev
description: scientific article; zbMATH DE number 1686474