Functional-Type Caristi–Kirk Theorem on Menger Space and Application
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/3931426 |
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| _version_ | 1832567802317242368 |
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| author | Soumia Chaira Mohammed Dahmouni Abderrahim Eladraoui Mustapha Kabil |
| author_facet | Soumia Chaira Mohammed Dahmouni Abderrahim Eladraoui Mustapha Kabil |
| author_sort | Soumia Chaira |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-79535d4a0d5c4d30a635737b64f5f872 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-79535d4a0d5c4d30a635737b64f5f8722025-02-03T01:00:30ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/39314263931426Functional-Type Caristi–Kirk Theorem on Menger Space and ApplicationSoumia Chaira0Mohammed Dahmouni1Abderrahim Eladraoui2Mustapha Kabil3Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University Hassan II of Casablanca, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University Hassan II of Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M’Sick, University Hassan II of Casablanca, Mohammedia, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University Hassan II of Casablanca, MoroccoIn 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.http://dx.doi.org/10.1155/2020/3931426 |
| spellingShingle | Soumia Chaira Mohammed Dahmouni Abderrahim Eladraoui Mustapha Kabil Functional-Type Caristi–Kirk Theorem on Menger Space and Application Journal of Mathematics |
| title | Functional-Type Caristi–Kirk Theorem on Menger Space and Application |
| title_full | Functional-Type Caristi–Kirk Theorem on Menger Space and Application |
| title_fullStr | Functional-Type Caristi–Kirk Theorem on Menger Space and Application |
| title_full_unstemmed | Functional-Type Caristi–Kirk Theorem on Menger Space and Application |
| title_short | Functional-Type Caristi–Kirk Theorem on Menger Space and Application |
| title_sort | functional type caristi kirk theorem on menger space and application |
| url | http://dx.doi.org/10.1155/2020/3931426 |
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