2005-Oujda International Conference on Nonlinear Analysis, Oujda, Morocco.
Electron. J. Diff. Eqns., Conference 14 (2006), pp. 173-180.

A generalization of Ekeland's variational principle with applications

Abdel R. El Amrouss, Najib Tsouli

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.

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Abdelrachid El Amrouss
University Mohamed 1er, Faculty of sciences
Department of Mathematics, Oujda; Morocco
e-mail: amrouss@sciences.univ-oujda.ac.ma
Najib Tsouli
University Mohamed 1er, Faculty of sciences
Department of Mathematics, Oujda; Morocco
e-mail: tsouli@sciences.univ-oujda.ac.ma

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