Generalized $\alpha$-Meir-Keeler Contraction Mappings on Branciari b-metric Spaces

Abstract

In this paper, $\alpha$-admissible Meir-Keller and generalized $\alpha$-admissible Meir-Keller contractions on Branciari $b$-metric spaces are introduced. Existence and uniqueness of fixed points of such contractions are discussed and related theorems are proved. Various consequences of the main results are also presented.