<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

A generalized form of Ekeland’s variational principle

Department of Mathematics, Babeş-Bolyai University 1 Kogălniceanu Str., 400084, Cluj-Napoca, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"A generalized form of Ekeland\u2019s variational principle"}

In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein...

A generalized form of Ekeland’s variational principle

Published Online: May 17, 2013

Page range: 101 - 112

DOI: https://doi.org/10.2478/v10309-012-0008-5

Keywords
Ekeland variational principle,Zhong variational principle, Borwein Preiss variational principle, metric spaces, Caristi type fixed point

This content is open access.

A generalized form of Ekeland’s variational principle

Published Online: May 17, 2013

Page range: 101 - 112

DOI: https://doi.org/10.2478/v10309-012-0008-5

KeywordsEkeland variational principle,Zhong variational principle, Borwein Preiss variational principle, metric spaces, Caristi type fixed point

This content is open access.

Keywords
Ekeland variational principle,Zhong variational principle, Borwein Preiss variational principle, metric spaces, Caristi type fixed point