On a separation principle for nonconvex sets
type: Item
instance of: scholarly article
title: On a separation principle for nonconvex sets
zbMATH Open document ID: 1161.65045
author: G. Li
author: Gaohang Yu
author: Chun-Ming Tang
author: Zengxin Wei
published in: Set-Valued Analysis
publication date: 2009-03-16T00:00:00Z
review text: It is shown that the nonconvex separation principle, the Ekeland variational principle and completeness are equivalent in normed linear spaces. As an application, an extension of the convex strict separation theorem is given for Banach spaces.
reviewed by: Bülent Karasözen
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 5529284
zbMATH Keywords: separation principle
zbMATH Keywords: extremal principle
zbMATH Keywords: Ekeland variational principle
zbMATH Keywords: normed linear spaces
zbMATH Keywords: Banach spaces
Wikidata QID: Q59241591
MaRDI profile type: Publication
full work available at URL: s11228-008-0099-3
OpenAlex ID: W2123181107
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DOI: 10.1007/S11228-008-0099-3
description: scientific article; zbMATH DE number 5529284