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Banach, S, “Surles operations dans ensembles abstraits et leur application aux equations integrales,” Fundamenta Mathematicae, 3. 51-57. 1922.

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Article

Common Fixed Point of Generalized αs-ψ-Geraghty Contractive Mappings on b-metric Spaces

1School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, People’s Republic of China


American Journal of Applied Mathematics and Statistics. 2021, Vol. 9 No. 2, 66-74
DOI: 10.12691/ajams-9-2-5
Copyright © 2021 Science and Education Publishing

Cite this paper:
Jianju Li, Hongyan Guan. Common Fixed Point of Generalized αs-ψ-Geraghty Contractive Mappings on b-metric Spaces. American Journal of Applied Mathematics and Statistics. 2021; 9(2):66-74. doi: 10.12691/ajams-9-2-5.

Correspondence to: Hongyan  Guan, School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, People’s Republic of China. Email: guanhy8010@163.com

Abstract

In this paper, we study the existence and uniqueness of common fixed point of generalized αs-ψ-Geraghty contractive mapping in the framework of b-metric spaces. We give an example to prove the validity of our conclusion.

Keywords