Well-positioned closed convex sets and well-positioned closed convex functions
type: Item
instance of: scholarly article
title: Well-positioned closed convex sets and well-positioned closed convex functions
zbMATH Open document ID: 1072.52005
author: Samir Adly
author: E. Ernst
author: Michel Théra
published in: Journal of Global Optimization
publication date: 2005-04-07T00:00:00Z
review text: The authors give geometrical and analytical characterizations of the class of closed convex sets having a barrier cone with a nonempty interior. A geometric charaterization of the proper extended real-valued functions and analytical characterization of convex lower semi-continuous functions for which the domain of their Fenchel conjugate has a nonempty interior are established. As an application, the authors study the stability of the solution set of a semi-coercive variational inequality.
Mathematics Subject Classification ID: 52A41
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 2153466
zbMATH Keywords: barrier cone
zbMATH Keywords: convex analysis
zbMATH Keywords: Fenchel conjugate
zbMATH Keywords: recession analysis
zbMATH Keywords: semi-coercive functions
zbMATH Keywords: support function
zbMATH Keywords: variational inequality
Wikidata QID: Q57580549
MaRDI profile type: Publication
DOI: 10.1023/B:JOGO.0000047907.66385.5D
description: scientific article; zbMATH DE number 2153466