In this paper, we study the existence and uniqueness of common fixed point of $ \alpha_{i, j} $-$ \varphi_{{E}_{M, N}} $-Geraghty contraction mappings and the existence of coincidence point of $ \alpha_{i, j} $-$ \varphi_{E_N} $-Geraghty contraction mapping in the framework of $ b $-metric spaces. We also give two examples to support our results.
Citation: Chen Lang, Hongyan Guan. Common fixed point and coincidence point results for generalized $ \alpha $-$ \varphi_{E} $-Geraghty contraction mappings in $ b $-metric spaces[J]. AIMS Mathematics, 2022, 7(8): 14513-14531. doi: 10.3934/math.2022800
In this paper, we study the existence and uniqueness of common fixed point of $ \alpha_{i, j} $-$ \varphi_{{E}_{M, N}} $-Geraghty contraction mappings and the existence of coincidence point of $ \alpha_{i, j} $-$ \varphi_{E_N} $-Geraghty contraction mapping in the framework of $ b $-metric spaces. We also give two examples to support our results.
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Chen Lang, Hongyan Guan. Common fixed point and coincidence point results for generalized $ \alpha $-$ \varphi_{E} $-Geraghty contraction mappings in $ b $-metric spaces[J]. AIMS Mathematics, 2022, 7(8): 14513-14531. doi: 10.3934/math.2022800
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