A generalized form of Ekeland’s variational principle
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Open Access
|May 2013Abstract
In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle. Therefore in a particular case, from this variational principle we get a Zhong type variational principle, and a Borwein-Preiss variational principle. As a consequence, we obtain a Caristi type fixed point theorem.
Language: English
Page range: 101 - 112
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2013 Csaba Farkas, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.