Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme
Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of G-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in Gb-metric...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000725 |
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| author | Amna Naz Samina Batul Sarah Aljohani Nabil Mlaiki |
| author_facet | Amna Naz Samina Batul Sarah Aljohani Nabil Mlaiki |
| author_sort | Amna Naz |
| collection | DOAJ |
| description | Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of G-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in Gb-metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results. |
| format | Article |
| id | doaj-art-e58cf95a596042e7ba9ba71d2393f577 |
| institution | DOAJ |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-e58cf95a596042e7ba9ba71d2393f5772025-08-20T03:15:43ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-011310114510.1016/j.padiff.2025.101145Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative schemeAmna Naz0Samina Batul1Sarah Aljohani2Nabil Mlaiki3Capital University of Science and Technology, Islamabad, PakistanCapital University of Science and Technology, Islamabad, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; Corresponding author.Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi ArabiaRecently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of G-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in Gb-metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results.http://www.sciencedirect.com/science/article/pii/S2666818125000725CyclicContractionG-metric spaces |
| spellingShingle | Amna Naz Samina Batul Sarah Aljohani Nabil Mlaiki Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme Partial Differential Equations in Applied Mathematics Cyclic Contraction G-metric spaces |
| title | Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme |
| title_full | Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme |
| title_fullStr | Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme |
| title_full_unstemmed | Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme |
| title_short | Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme |
| title_sort | results for cyclic contractive mappings of kannan and chatterjea type equipped with mann s iterative scheme |
| topic | Cyclic Contraction G-metric spaces |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000725 |
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