- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 1 Issue: 2
- Geraghty type contraction mappings on Branciari b-metric spaces
Geraghty type contraction mappings on Branciari b-metric spaces
Authors : İnci M. Erhan
Pages : 147-160
Doi:10.31197/atnaa.379097
View : 5 | Download : 1
Publication Date : 2017-12-20
Article Type : Research
Abstract :In this paper fixed points of α-admissible contraction mappings of Geraghty type defined on Branciari bmetric spaces are studied. Existence and uniqueness theorems for these types of mappings of are proved. Some consequences of these theorems are given and specific examples are presented.Keywords : fixed point, Branciari b-metric space, α-admissible contraction mappings, Geraghty contraction