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Asplund Spaces, Stegall Variational Principle and the RNP

✍ Scribed by Marc Lassonde

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
318 KB
Volume
17
Category
Article
ISSN
1877-0533

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πŸ“œ SIMILAR VOLUMES

Ekeland's variational principle in local
Ekeland's variational principle in locally complete spaces
✍ Qiu Jing-Hui πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 79 KB

## Abstract We extend Ekeland's variational principle to locally complete locally convex spaces. As an application of the extension, we obtain a drop theorem in locally convex spaces which improves the related known result.

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The main purpose of this paper is to introduce the concept of F-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point theorem, respectively.