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New iterative scheme for fixed point results of weakly compatible maps in multiplicative GM-metric space via various contractions with applicationopen access

Authors
Gamal, MohamedRasham, TahairCholamjiak, WatcharapornShi, Fu-GuiPark, Choon kil
Issue Date
May-2022
Publisher
American Institute of Mathematical Sciences
Keywords
fixed point; multiplicative G(M)-metric space; point of coincidence; weakly compatible maps; Delta-implicit contractions
Citation
AIMS Mathematics, v.7, no.8, pp 13681 - 13703
Pages
23
Indexed
SCIE
SCOPUS
Journal Title
AIMS Mathematics
Volume
7
Number
8
Start Page
13681
End Page
13703
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/203631
DOI
10.3934/math.2022754
ISSN
2473-6988
2473-6988
Abstract
In this manuscript, we induced several vivid common fixed point theorems for four maps in the setting of complete multiplicative Gm-metric space via various contractive conditions such as Δ-implicit contractions. Some new definitions and results are introduced in multiplicative Gm-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.
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