Nonsmooth characterizations of Asplund spaces and smooth variational principles
type: Item
instance of: scholarly article
title: Nonsmooth characterizations of Asplund spaces and smooth variational principles
zbMATH Open document ID: 0927.49012
DOI: 10.1023/A:1008799412427
published in: Set-Valued Analysis
publication date: 1999-11-28T00:00:00Z
review text: In this interesting article the authors give new characterizations of Asplund spaces by using \(\varepsilon\)-normals and \(\varepsilon\)-subdifferentials as well as their sequential limits. Then they investigate several smooth variational principles in Asplund spaces. So, one provides necessary and sufficient conditions for the validity of such variational principles.
reviewed by: Constantin Zălinescu
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 58C20
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 1305612
zbMATH Keywords: nonsmooth analysis
zbMATH Keywords: Asplund spaces
zbMATH Keywords: subdifferentials
zbMATH Keywords: normal cones
zbMATH Keywords: variational principles
author: Marián Fabian
author: Boris S. Mordukhovich
MaRDI profile type: Publication
full work available at URL: a:1008799412427
OpenAlex ID: W161756625
description: scientific article; zbMATH DE number 1305612