Some strong coupled coincidence and coupled best proximity results on complete metric spaces

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2024年11月25日

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Dakjum Eshi,
Bipan Hazarika,
Nipen Saikia,
Sarah Aljohani,
Sumati Kumari Panda,
Ahmad Aloqaily,
Nabil Mlaiki

摘要

In this paper, the concept of Wardowski’s class of contraction is integrated with that of g-coupling to define some F-contractive type g-couplings. We establish existence results for a coupled coincidence point, a strong coupled coincidence point, and a coupled best proximity point for these couplings within the framework of complete metric space. Additionally, we establish the existence of a coupled coincidence point for multivalued F-contractive type $g$ $\mathfrak{g}$ -coupling. Further, an application of our result with regard to the existence of a system of nonlinear integral equations is discussed.