Functional-Type Caristi–Kirk Theorem on Menger Space and Application
Autor: | Soumia Chaira, Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil |
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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 |
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