Strong tripled fixed points under a new class of F-contractive mappings with supportive applications
A significant advancement in the field of fixed point theory is presented in this manuscript. The existence and uniqueness of strong tripled coincidence points for F-contractive mappings in metric spaces were investigated. An extension of this analysis to multivalued F-contractive mappings was provi...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025266 |
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| author | Hasanen A. Hammad Doha A. Kattan |
| author_facet | Hasanen A. Hammad Doha A. Kattan |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | A significant advancement in the field of fixed point theory is presented in this manuscript. The existence and uniqueness of strong tripled coincidence points for F-contractive mappings in metric spaces were investigated. An extension of this analysis to multivalued F-contractive mappings was provided, establishing the existence of tripled fixed points within this generalized setting. Existing findings in the literature were generalized and refined by these results, offering a more comprehensive understanding of fixed point phenomena. Furthermore, the practical applicability of these theoretical contributions was demonstrated through the study of solutions to various forms of nonlinear integral equations and integral-type inequalities. |
| format | Article |
| id | doaj-art-209c993a2a69456ba7d0d41ceb76bdb9 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-209c993a2a69456ba7d0d41ceb76bdb92025-08-20T02:08:20ZengAIMS PressAIMS Mathematics2473-69882025-03-011035785580510.3934/math.2025266Strong tripled fixed points under a new class of F-contractive mappings with supportive applicationsHasanen A. Hammad0Doha A. Kattan1Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaDepartment of Mathematics, College of Sciences and Art, King Abdulaziz University, Rabigh, Saudi ArabiaA significant advancement in the field of fixed point theory is presented in this manuscript. The existence and uniqueness of strong tripled coincidence points for F-contractive mappings in metric spaces were investigated. An extension of this analysis to multivalued F-contractive mappings was provided, establishing the existence of tripled fixed points within this generalized setting. Existing findings in the literature were generalized and refined by these results, offering a more comprehensive understanding of fixed point phenomena. Furthermore, the practical applicability of these theoretical contributions was demonstrated through the study of solutions to various forms of nonlinear integral equations and integral-type inequalities.https://www.aimspress.com/article/doi/10.3934/math.2025266tripled fixed pointnonlinear equationf-contraction mappingevaluation metricsstandard metric space |
| spellingShingle | Hasanen A. Hammad Doha A. Kattan Strong tripled fixed points under a new class of F-contractive mappings with supportive applications AIMS Mathematics tripled fixed point nonlinear equation f-contraction mapping evaluation metrics standard metric space |
| title | Strong tripled fixed points under a new class of F-contractive mappings with supportive applications |
| title_full | Strong tripled fixed points under a new class of F-contractive mappings with supportive applications |
| title_fullStr | Strong tripled fixed points under a new class of F-contractive mappings with supportive applications |
| title_full_unstemmed | Strong tripled fixed points under a new class of F-contractive mappings with supportive applications |
| title_short | Strong tripled fixed points under a new class of F-contractive mappings with supportive applications |
| title_sort | strong tripled fixed points under a new class of f contractive mappings with supportive applications |
| topic | tripled fixed point nonlinear equation f-contraction mapping evaluation metrics standard metric space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025266 |
| work_keys_str_mv | AT hasanenahammad strongtripledfixedpointsunderanewclassoffcontractivemappingswithsupportiveapplications AT dohaakattan strongtripledfixedpointsunderanewclassoffcontractivemappingswithsupportiveapplications |