Functional-Type Caristi–Kirk Theorem on Menger Space and Application

Soumia Chaira, Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil and Nan-Jing Huang

Journal of Mathematics, 2020, vol. 2020, 1-8

Abstract: In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3931426

DOI: 10.1155/2020/3931426

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