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

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  • Nigussa L. Bayissa
  • Kidane K. Tola

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.

Suggested Citation

  • Nigussa L. Bayissa & Kidane K. Tola, 2026. "Fixed Point Results for Interpolative Kannan Type and Ćirić-Reich-Rus Type Cyclic Contractions in Dislocated Quasi-Rectangular b-Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2026, pages 1-10, January.
  • Handle: RePEc:hin:jnlaaa:9950080
    DOI: 10.1155/aaa/9950080
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