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Research Article | Open Access

Common fixed point and coincidence point results for generalized α- φ E -Geraghty contraction mappings in b-metric spaces

Chen Lang, Hongyan Guan( )
School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China
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Abstract

In this paper, we study the existence and uniqueness of common fixed point of α i , j - φ E M , N -Geraghty contraction mappings and the existence of coincidence point of α i , j - φ E N -Geraghty contraction mapping in the framework of b-metric spaces. We also give two examples to support our results.

Keywords

common fixed pointcoincidence pointb-metricαi,j-φEM,N-Geraghty contraction mappingsαi,j-φEN-Geraghty contraction mapping
CLC number: 47H09, 47H10

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14513-14531
DOI: 10.3934/math.2022800

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Cite this article:
Lang C, Guan H. Common fixed point and coincidence point results for generalized α- φ E -Geraghty contraction mappings in b-metric spaces. AIMS Mathematics, 2022, 7(8): 14513-14531. https://doi.org/10.3934/math.2022800

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Received: 26 April 2022
Revised: 21 May 2022
Accepted: 24 May 2022
Published: 15 August 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)