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

Abstract

Abstract 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.

Keywords

• Fixed points
• b-metric spaces
• Generalized ( α , ϕ ) $(\alpha , \phi )$ -Meir–Keeler type hybrid contractive mappings