Fixed Points of Generalized α -Meir-Keeler Contraction Mappings in S b -Metric Spaces

Abstract

In this note, we define Meir-Keeler contraction in $S_b$ -metric spaces. Further, by adding the concept of $\alpha$ -admissible mappings, we define generalized ${\alpha }_s$ -Meir-Keeler contraction and used it for examining the existence and uniqueness of fixed points. Various results are also given as a consequence of our results.