On combinational contractions with applications
The aim of this paper is to provide a new hybrid contraction that is a combination of Jaggi, Meir-Keeler and Zamfirescu-type contractions in the framework of a complete metric space. The existence and uniqueness conditions of a fixed point of such contractions are investigated. An example is constru...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025002853 |
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| _version_ | 1832573075368968192 |
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| author | Mohammed Shehu Shagari Manzuma Mustapha Hala H. Taha Sarah Aljohani Nabil Mlaiki |
| author_facet | Mohammed Shehu Shagari Manzuma Mustapha Hala H. Taha Sarah Aljohani Nabil Mlaiki |
| author_sort | Mohammed Shehu Shagari |
| collection | DOAJ |
| description | The aim of this paper is to provide a new hybrid contraction that is a combination of Jaggi, Meir-Keeler and Zamfirescu-type contractions in the framework of a complete metric space. The existence and uniqueness conditions of a fixed point of such contractions are investigated. An example is constructed to demonstrate the validity of the obtained results. Furthermore, the presented result is utilized to formulate new criteria for solving a class of nonlinear Fredholm integral equation. |
| format | Article |
| id | doaj-art-531a6c7a7aaf4c99947c63556df74970 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-531a6c7a7aaf4c99947c63556df749702025-02-02T05:28:31ZengElsevierHeliyon2405-84402025-01-01112e41905On combinational contractions with applicationsMohammed Shehu Shagari0Manzuma Mustapha1Hala H. Taha2Sarah Aljohani3Nabil Mlaiki4Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria; Corresponding author.Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, NigeriaDepartment of Mathematical Sciences, College of Science, Prince Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaThe aim of this paper is to provide a new hybrid contraction that is a combination of Jaggi, Meir-Keeler and Zamfirescu-type contractions in the framework of a complete metric space. The existence and uniqueness conditions of a fixed point of such contractions are investigated. An example is constructed to demonstrate the validity of the obtained results. Furthermore, the presented result is utilized to formulate new criteria for solving a class of nonlinear Fredholm integral equation.http://www.sciencedirect.com/science/article/pii/S2405844025002853Fixed pointJaggi contractionMeir-Keeler contractionZamfirescu contractionFredholm nonlinear |
| spellingShingle | Mohammed Shehu Shagari Manzuma Mustapha Hala H. Taha Sarah Aljohani Nabil Mlaiki On combinational contractions with applications Heliyon Fixed point Jaggi contraction Meir-Keeler contraction Zamfirescu contraction Fredholm nonlinear |
| title | On combinational contractions with applications |
| title_full | On combinational contractions with applications |
| title_fullStr | On combinational contractions with applications |
| title_full_unstemmed | On combinational contractions with applications |
| title_short | On combinational contractions with applications |
| title_sort | on combinational contractions with applications |
| topic | Fixed point Jaggi contraction Meir-Keeler contraction Zamfirescu contraction Fredholm nonlinear |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025002853 |
| work_keys_str_mv | AT mohammedshehushagari oncombinationalcontractionswithapplications AT manzumamustapha oncombinationalcontractionswithapplications AT halahtaha oncombinationalcontractionswithapplications AT sarahaljohani oncombinationalcontractionswithapplications AT nabilmlaiki oncombinationalcontractionswithapplications |