On smooth variational principles in Banach spaces
type: Item
instance of: scholarly article
title: On smooth variational principles in Banach spaces
zbMATH Open document ID: 0868.49012
author: Petr Hájek
author: M. Fabian
author: J. D. Vanderwerff
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-08-18T00:00:00Z
review text: A new variational principle in Banach spaces admitting Fréchet differentiable bump functions is given (Theorem 1.1). As an application, some refinements of the Borwein-Preiss variational principle are obtained. The first principle of this nature is the well-known variational principle of Ekeland in 1974.
Mathematics Subject Classification ID: 49J50
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 58E30
zbMATH DE Number: 902433
zbMATH Keywords: variational principles in Banach spaces
zbMATH Keywords: Fréchet differentiable bump functions
zbMATH Keywords: Borwein-Preiss variational principle
zbMATH Keywords: variational principle of Ekeland
reviewed by: N. H. Pavel
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0013
OpenAlex ID: W2067656518
DOI: 10.1006/JMAA.1996.0013
description: scientific article; zbMATH DE number 902433