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.
Partial metric partial fuzzy metric completeness fixed point theorem
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.
completeness partial metric partial fuzzy metric fixed point theorem
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik / Mathematics |
Yazarlar | |
Yayımlanma Tarihi | 15 Aralık 2020 |
Gönderilme Tarihi | 10 Nisan 2020 |
Kabul Tarihi | 30 Temmuz 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 10 Sayı: 4 |