Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502663 | Journal of Mathematical Analysis and Applications | 2005 | 17 Pages |
Abstract
By using a very general drop theorem in locally convex spaces we obtain some extended versions of Ekeland's variational principle, which only need assume local completeness of some related sets and improve Hamel's recent results. From this, we derive some new versions of Caristi's fixed points theorems. In the framework of locally convex spaces, we prove that Daneš' drop theorem, Ekeland's variational principle, Caristi's fixed points theorem and Phelps lemma are equivalent to each other.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jing-Hui Qiu,