On smooth variational principles in Banach spaces (Q1916705)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On smooth variational principles in Banach spaces |
scientific article; zbMATH DE number 902433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On smooth variational principles in Banach spaces |
scientific article; zbMATH DE number 902433 |
Statements
On smooth variational principles in Banach spaces (English)
0 references
18 August 1997
0 references
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.
0 references
variational principles in Banach spaces
0 references
Fréchet differentiable bump functions
0 references
Borwein-Preiss variational principle
0 references
variational principle of Ekeland
0 references
