Fixed Point Results for Interpolative Kannan Type and Ćirić-Reich-Rus Type Cyclic Contractions in Dislocated Quasi-Rectangular b-Metric Spaces

Nigussa L. Bayissa and Kidane K. Tola

Abstract and Applied Analysis, 2026, vol. 2026, 1-10

Abstract: This article aims to present a new fixed point (FP) result for interpolative Kannan type and Ćirić-Reich-Rus type cyclic contractions (CRRTCCs) in dislocated quasi-rectangular b-metric spaces. We go through rigorous steps to prove the existence of a unique FP for the stated mapping in the setting of dislocated quasi-rectangular b-metric spaces. Our results generalize recent and related findings in literature. We provided a nontrivial example that justifies our findings. We also demonstrate the application of our result Theorem 3 on the existence of a unique solution for a nonlinear Fredholm integral equation.MSC2020 Classification 47H10, 54H25.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:9950080

DOI: 10.1155/aaa/9950080

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