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

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2024年2月12日

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Mustefa Abduletif Mamud,
Kidane Koyas Tola

摘要

In this paper, we introduce the notion of generalized $(α, ϕ)$ $(\alpha , \phi )$ -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.

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

摘要