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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Authors: Nigussa L. Bayissa, Kidane Koyas
Cited by: 0
References: 24

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.

Fields of Study & Subjects

Fixed Point Theorems Analysis Functional Equations Stability Results Approximation Theory and Sequence Spaces

Publication details

Journal / source
Abstract and Applied Analysis
Volume
2026
Issue
1
Publication date
1 January 2026
Language
EN