A generalized variational principle in b-metric spaces
Keywords:
b-metric, Ekeland-type variational principles, Zhong-type variational principles, Caristi's fixed point theoremAbstract
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.Downloads
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