- Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 10 Issue: 4
- Some Fixed Point Theorems in Partial Fuzzy Metric Spaces
Some Fixed Point Theorems in Partial Fuzzy Metric Spaces
Authors : Başak Aldemir, Elif Güner, Ebru Aydoğdu, Halis Aygün
Pages : 2889-2900
Doi:10.21597/jist.716207
View : 18 | Download : 4
Publication Date : 2020-12-15
Article Type : Research
Abstract :The aim of this study is basically to give some fundamental fixed point theorems in partial fuzzy metric spaces. Firstly, we investigate the relationships of partial metric space and fuzzy metric space with partial fuzzy metric spaces. Then we define some contractive/contraction mappings similar to the Banach contraction mappings in the classical sense. Also, we show that these mappings have a unique fixed point under some conditions. Finally, we give some examples to illustrate the validity of the obtained results and the necessity of added conditions.Keywords : Partial metric, partial fuzzy metric, completeness, fixed point theorem