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Research Article | Open Access

New iterative scheme for fixed point results of weakly compatible maps in multiplicative G M −metric space via various contractions with application

Mohamed Gamal1( ), Tahair Rasham2, Watcharaporn Cholamjiak3( ), Fu-Gui Shi4, Choonkil Park5
Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
Department of Mathematics, University of Poonch Rawalakot, Azad Kashmir, Pakistan
School of Science, University of Phayao, Phayao 56000, Thailand
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China
Research Institute for Natural Science, Hanyang University, Seoul 04763, Korea
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Abstract

In this manuscript, we induced several vivid common fixed point theorems for four maps in the setting of complete multiplicative G M −metric space via various contractive conditions such as Δ-implicit contractions. Some new definitions and results are introduced in multiplicative G M − metric space.Moreover, illustrative examples are given to validate our obtained results and an application to a system of nonlinear integral equations are provided to show the novelty of our new results.

Keywords

fixed pointmultiplicative GM−metric spacepoint of coincidenceweakly compatible mapsΔ-implicit contractions
CLC number: 47H10, 55H02

References

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13681-13703
DOI: 10.3934/math.2022754

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Cite this article:
Gamal M, Rasham T, Cholamjiak W, et al. New iterative scheme for fixed point results of weakly compatible maps in multiplicative G M −metric space via various contractions with application. AIMS Mathematics, 2022, 7(8): 13681-13703. https://doi.org/10.3934/math.2022754

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Received: 02 December 2021
Revised: 28 April 2022
Accepted: 09 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)