Fixed Point Results for Cyclic Generalized ψ-Weak Contraction Mapping in Rectangular b-Metric Spaces With Applications

Nigussa L. Bayissa and Kidane K. Tola

Abstract and Applied Analysis, 2025, vol. 2025, 1-10

Abstract: The objective of this paper is to present a new fixed-point result for a class of mappings named a cyclic generalized ψ-weak contraction. We also presented the best proximity point for the contraction when the considered sets have no common points. We go through rigorous steps to prove the existence of a unique fixed-point and best proximity point results under different conditions for the stated mapping in rectangular b-metric spaces (RbMSs). Our results generalize the findings introduced in Theorems 4 and 5, and related papers in the literature. We also provided a nontrivial example that justifies our findings. Finally, we demonstrate the application of our result on the existence of a unique solution for the integral equation.MSC2020 Classification47H10, 54H25.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:8875537

DOI: 10.1155/aaa/8875537

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