A generalized form of Ekeland’s variational principle

Csaba Farkas

doi:10.2478/v10309-012-0008-5

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A generalized form of Ekeland’s variational principle

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 1 (May 2012)

By: Csaba Farkas

Open Access

|May 2013

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.

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