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

Authors :
Abduletif Mamud, Mustefa
Koyas Tola, Kidane
Source :
Fixed Point Theory & Algorithms for Sciences & Engineering. 2/12/2024, Vol. 2024 Issue 1, p1-20. 20p.
Publication Year :
2024

Abstract

In this paper, we introduce the notion of generalized (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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
27305422
Volume :
2024
Issue :
1
Database :
Academic Search Index
Journal :
Fixed Point Theory & Algorithms for Sciences & Engineering
Publication Type :
Academic Journal
Accession number :
175359113
Full Text :
https://doi.org/10.1186/s13663-023-00758-7