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2022 Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces
Mustefa Abduletif Mamud, Kidane Koyas Tola
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Abstr. Appl. Anal. 2022: 1-12 (2022). DOI: 10.1155/2022/9370083

Abstract

In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results.

Acknowledgments

The authors would like to thank the College of Natural Sciences, Jimma University, for funding this research work.

Citation

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Mustefa Abduletif Mamud. Kidane Koyas Tola. "Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces." Abstr. Appl. Anal. 2022 1 - 12, 2022. https://doi.org/10.1155/2022/9370083

Information

Received: 18 December 2021; Revised: 11 March 2022; Accepted: 15 March 2022; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/9370083

Rights: Copyright © 2022 Hindawi

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