학술논문

New iterative scheme for fixed point results of weakly compatible maps in multiplicative GM−metric space via various contractions with application
Document Type
article
Source
AIMS Mathematics, Vol 7, Iss 8, Pp 13681-13703 (2022)
Subject
fixed point
multiplicative gm−metric space
point of coincidence
weakly compatible maps
δ-implicit contractions
Mathematics
QA1-939
Language
English
ISSN
2473-6988
Abstract
In this manuscript, we induced several vivid common fixed point theorems for four maps in the setting of complete multiplicative $ {G_{\boldsymbol{M}}}- $metric space via various contractive conditions such as $ \Delta $-implicit contractions. Some new definitions and results are introduced in multiplicative $ {G_{\boldsymbol{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.