Fixed Point Results for Coupled Large Kannan Contraction Using W-Distance and Its Application to Integral Equations

Priyam Chakraborty, Binayak S. Choudhury, Amaresh Kundu and Santosh Kumar

Journal of Mathematics, 2026, vol. 2026, 1-12

Abstract: In the present paper, we employ the notion of w-distance to prove a large Kannan-type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty-type control function, we derive fixed point results in metric spaces with and without partial order. The control function utilized is a combination of two simultaneous contractive conditions integrated with the w-distance. Some corollaries of the main theorems are presented. To validate our findings, we provide an illustrative example and also an application to the solution of a system of coupled integral equations.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1066931

DOI: 10.1155/jom/1066931

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