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Keywords = extended β-ϕ-Geraghty contraction mapping

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19 pages, 328 KiB  
Article
Applying an Extended β-ϕ-Geraghty Contraction for Solving Coupled Ordinary Differential Equations
by Hasanen A. Hammad, Kamaleldin Abodayeh and Wasfi Shatanawi
Symmetry 2023, 15(3), 723; https://doi.org/10.3390/sym15030723 - 14 Mar 2023
Cited by 2 | Viewed by 1542
Abstract
In this paper, we introduce a new class of mappings called “generalized β-ϕ-Geraghty contraction-type mappings”. We use our new class to formulate and prove some coupled fixed points in the setting of partially ordered metric spaces. Our results generalize and [...] Read more.
In this paper, we introduce a new class of mappings called “generalized β-ϕ-Geraghty contraction-type mappings”. We use our new class to formulate and prove some coupled fixed points in the setting of partially ordered metric spaces. Our results generalize and unite several findings known in the literature. We also provide some examples to support and illustrate our theoretical results. Furthermore, we apply our results to discuss the existence and uniqueness of a solution to a coupled ordinary differential equation as an application of our finding. Full article
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