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

Autor: Soumia Chaira, Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Mathematics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 2314-4629
2314-4785
DOI: 10.1155/2020/3931426
Popis: 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.
Databáze: Directory of Open Access Journals