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Fixed point theorems for generalized $(\alpha , \phi )$-Meir–Keeler type hybrid contractive mappings via simulation function in b-metric spaces

Article scientifique 2024 Anglais

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Abstract In this paper, we introduce the notion of generalized $(\alpha , \phi )$ ( α , ϕ ) -Meir–Keeler hybrid contractive mappings of type I and II via simulation function and establish fixed point theorems for such mappings in the setting of complete b-metric spaces. Our results extend and generalize many related fixed point results in the existing literature. Finally, we provide an example in support of our main finding.

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Mamud, M., Tola, K. (2024). Fixed point theorems for generalized $(\alpha , \phi )$-Meir–Keeler type hybrid contractive mappings via simulation function in b-metric spaces. https://doi.org/10.1186/s13663-023-00758-7

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