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.
Citation: Mohamed Gamal, Tahair Rasham, Watcharaporn Cholamjiak, Fu-Gui Shi, Choonkil Park. New iterative scheme for fixed point results of weakly compatible maps in multiplicative $ {G_{\boldsymbol{M}}}- $metric space via various contractions with application[J]. AIMS Mathematics, 2022, 7(8): 13681-13703. doi: 10.3934/math.2022754
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.
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Mohamed Gamal, Tahair Rasham, Watcharaporn Cholamjiak, Fu-Gui Shi, Choonkil Park. New iterative scheme for fixed point results of weakly compatible maps in multiplicative $ {G_{\boldsymbol{M}}}- $metric space via various contractions with application[J]. AIMS Mathematics, 2022, 7(8): 13681-13703. doi: 10.3934/math.2022754
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