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Research Article | Open Access

Common fixed and coincidence point theorems for nonlinear self-mappings in cone b-metric spaces using φ-mapping

Mingliang SongDan Liu
School of Mathematical Sciences, Jiangsu Second Normal University, Nanjing 210013, China
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Abstract

In this paper, by means of a mapping φ Φ ( P , P 1 ), some new common fixed and coincidence point theorems for four and six nonlinear self-mappings in cone b-metric spaces are established, respectively. Also, some examples are given to prove the effectiveness of our results. And with some remarks stating that our results complement and sharply improve some related results in the literature.

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Electronic Research Archive
Pages 4788-4806

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Cite this article:
Song M, Liu D. Common fixed and coincidence point theorems for nonlinear self-mappings in cone b-metric spaces using φ-mapping. Electronic Research Archive, 2023, 31(8): 4788-4806. https://doi.org/10.3934/era.2023245

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Received: 19 March 2023
Revised: 14 June 2023
Accepted: 27 June 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

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