Some Fixed Point Theorems in Partial Fuzzy Metric Spaces

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Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:10 Issue:4
Some Fixed Point Theorems in Partial Fuzzy Metric Spaces

Some Fixed Point Theorems in Partial Fuzzy Metric Spaces

Authors : Başak ALDEMİR, Elif GÜNER, Ebru AYDOĞDU, Halis AYGÜN

Pages : 2889-2900

Doi:10.21597/jist.716207

View : 51 | Download : 18

Publication Date : 2020-12-15

Article Type : Research Paper

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

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