Open AccessGeneralized α-Meir-Keeler contraction mappings on Branciari b-metric spaces
Author(s) -
Selma Gülyaz,
Erdal Karapınar,
İncı M. Erhan
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1717445g
Subject(s) - mathematics , metric space , uniqueness , contraction (grammar) , pure mathematics , mathematical analysis , linguistics , philosophy
In this paper, ?-Meir-Keeler and generalized ?-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.