A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions
In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2019-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_36368_9a848912e4671909f6a8c863dba82798.pdf |
| _version_ | 1818334091483807744 |
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| author | Gholamreza Heidary Joonaghany Ali Farajzadeh Mahdi Azhini Farshid Khojasteh |
| author_facet | Gholamreza Heidary Joonaghany Ali Farajzadeh Mahdi Azhini Farshid Khojasteh |
| author_sort | Gholamreza Heidary Joonaghany |
| collection | DOAJ |
| description | In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples are furnished to demonstrate the validity of the hypothesis of our results and reality of our generalizations. |
| first_indexed | 2024-12-13T14:02:01Z |
| format | Article |
| id | doaj.art-d357ad4716f34697b34266b7e8a60b92 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-13T14:02:01Z |
| publishDate | 2019-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-d357ad4716f34697b34266b7e8a60b922022-12-21T23:42:43ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002019-10-0116112914810.22130/scma.2018.78315.35936368A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation FunctionsGholamreza Heidary Joonaghany0Ali Farajzadeh1Mahdi Azhini2Farshid Khojasteh3Department of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University, Tehran, Iran.Department of Mathematics, Faculty of Science, University of Razi, Kermanshah 67149, Iran.Department of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University, Tehran, Iran.Department of Mathematics, Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples are furnished to demonstrate the validity of the hypothesis of our results and reality of our generalizations.http://scma.maragheh.ac.ir/article_36368_9a848912e4671909f6a8c863dba82798.pdfCommon fixed pointSuzuki type contractionsGeneralized $Psi$-simulation functions |
| spellingShingle | Gholamreza Heidary Joonaghany Ali Farajzadeh Mahdi Azhini Farshid Khojasteh A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions Sahand Communications in Mathematical Analysis Common fixed point Suzuki type contractions Generalized $Psi$-simulation functions |
| title | A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions |
| title_full | A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions |
| title_fullStr | A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions |
| title_full_unstemmed | A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions |
| title_short | A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions |
| title_sort | new common fixed point theorem for suzuki type contractions via generalized psi simulation functions |
| topic | Common fixed point Suzuki type contractions Generalized $Psi$-simulation functions |
| url | http://scma.maragheh.ac.ir/article_36368_9a848912e4671909f6a8c863dba82798.pdf |
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