<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

Pubblicato online: 17 mag 2013

Pagine: 101 - 112

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

Parole chiave
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

Pubblicato online: 17 mag 2013

Pagine: 101 - 112

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

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

This content is open access.

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