Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces

Abstract

In this note, we define the notion of Meir-Keeler contraction in Gb-metric spaces. Further, by adding the concept of α-admissible, we introduce the definition of generalised α-Meir-Keeler contraction and used it for examining the existence of fixed points and uniqueness. Various results are also given as consequence of our results.