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 |
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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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