Article ID: | iaor20131362 |
Volume: | 57 |
Issue: | 5-6 |
Start Page Number: | 1250 |
End Page Number: | 1258 |
Publication Date: | Mar 2013 |
Journal: | Mathematical and Computer Modelling |
Authors: | Eshghinezhad S, Fakhar M |
Keywords: | fixed point theory |
In this paper, some extensions of the Ekeland variational principle in metric spaces are given for a generalized pseudodistance. As an application we obtain Caristi’s fixed point theorem. Then, by using this result, we establish some fixed point theorems for set‐valued contractive mappings.