Some generalizations of Ekeland’s variational principle with applications to fixed point theory

Some generalizations of Ekeland’s variational principle with applications to fixed point theory

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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: ,
Keywords: fixed point theory
Abstract:

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.

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