A generalized variational principle in b-metric spaces

Le Matematiche

Szilard Nagy¹  Andrea Éva Molnár²  Csaba Farkas² 

[1] ;Babes Bolyai University Cluj Napoca, Romania;

关键词: b-metric;    Ekeland-type variational principles;    Zhong-type variational principles;    Caristi's fixed point theorem;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown