doiSerbia

Generalized α-Meir-Keeler contraction mappings on Branciari b-metric spaces

Gülyaz Selma (Department of Mathematics, Cumhuriyet University, Sivas, Turkey)
Karapınar Erdal (Department of Mathematics, Atilim University, İncek, Ankara, Turkey)
Erhan İnci M. (Department of Mathematics, Atilim University, İncek, Ankara, Turkey)

In this paper, α-Meir-Keeler and generalized α-Meir-Keeler 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.

Keywords: Branciari b-metric, Meir-Keeler contraction, Admissible mapping