2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 173-180. 

Title: A generalization of Ekeland's variational principle with
       applications

Authors: Abdel R. El Amrouss (Univ. Mohamed 1er, Oujda, Morocco)
         Najib Tsouli        (Univ. Mohamed 1er, Oujda, Morocco)
 
Abstract: 
 In this paper, we establish a variant of Ekeland's variational
 principle. This result suggest  to introduce a generalization of
 the famous Palais-Smale condition. An example is provided showing
 how it is used to give the existence of minimizer for functions
 for which the Palais-Smale condition and the one introduced by
 Cerami are not satisfied.

Published September 20, 2006.
Math Subject Classifications: 58E05, 35J65, 49B27.
Key Words: Ekeland's principle variational;  Palais-Smale condition; 
           optimization.