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Research Article | Open Access

A note on three different contractions in partially ordered complex valued G b -metric spaces

Yiquan Li1, Chuanxi Zhu1( ), Yingying Xiao1,2, Li Zhou1,2
School of Mathematics and Computer Sciences, Nanchang University, Nanchang, Jiangxi, 330031, China
Department of Basic discipline, Nanchang JiaoTong Institute, Nanchang, Jiangxi, 330031, China
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Abstract

In this paper, we introduce the complex valued C p -class function, a type of Geraghty contraction and a type of JS contraction in complete partially ordered complex valued G b -metric spaces, prove three fixed point theorems in this space, and also we give some examples to support our results.

Keywords

complex valued Gb-metric spacecomplex valued Cp-class functionGeraghty contractionJS contractionpartially ordered
CLC number: 47H10, 54H25, 54D99, 54E99

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12322-12341
DOI: 10.3934/math.2022684

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Cite this article:
Li Y, Zhu C, Xiao Y, et al. A note on three different contractions in partially ordered complex valued G b -metric spaces. AIMS Mathematics, 2022, 7(7): 12322-12341. https://doi.org/10.3934/math.2022684

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Received: 01 March 2022
Revised: 09 April 2022
Accepted: 19 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)