Coupled coincidence best proximity point results for generalized Ciric contractions

In this paper, we define a generalized Ćiric contraction with respect to ℸ and prove some coupled coincidence best proximity point results in the setting of complete metric spaces. We also obtain some coupled best proximity point results for such contractions. We provide an example for the validity...

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Bibliographic Details
Published in:AIP Advances 2024-03, Vol.14 (3), p.030701-030701-15
Main Authors: Hussain, Nawab, Asiri, Asim, Shafqat, Naeem, Hussain, Aftab, Anees, Zubair
Format: Article
Language:English
Subjects:
Differential equations
Metric space
Proximity
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Summary:In this paper, we define a generalized Ćiric contraction with respect to ℸ and prove some coupled coincidence best proximity point results in the setting of complete metric spaces. We also obtain some coupled best proximity point results for such contractions. We provide an example for the validity of our main result. Our results are the generalization of many results existing in the literature. As an application, we find the solution of the differential equation.
ISSN:2158-3226
2158-3226
DOI:10.1063/5.0189512