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