A generalized variational principle in b-metric spaces

  • Csaba Farkas Babes Bolyai University Cluj Napoca, Romania
  • Andrea Éva Molnár Babes Bolyai University Cluj Napoca, Romania
  • Szilard Nagy
Keywords: b-metric, Ekeland-type variational principles, Zhong-type variational principles, Caristi's fixed point theorem

Abstract

In this paper we establish and prove a generalized variational principle for b-metric spaces. As a consequence, we obtain a weak Zhong-type variational principle in b-metric spaces. We show the applicability of the mentioned generalized variational principle by presenting a Caristi-type fixed point theorem and an extension of the main result for bifunctions - both of them stated in b-metric spaces.

Author Biographies

Csaba Farkas, Babes Bolyai University Cluj Napoca, Romania
Departament of Mathematics and Informatics
Andrea Éva Molnár, Babes Bolyai University Cluj Napoca, Romania
Departament of Mathematics and Informatics
Published
2014-10-13
Section
Articoli