<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

Online veröffentlicht: 17. Mai 2013

Seitenbereich: 101 - 112

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

Schlüsselwörter
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

Online veröffentlicht: 17. Mai 2013

Seitenbereich: 101 - 112

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

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

This content is open access.

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