Controlled fuzzy metric spaces and some related fixed point results
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.37, sa.1, ss.583-593, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.1002/num.22541
- Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
- Sayfa Sayıları: ss.583-593
- Anahtar Kelimeler: control function, controlled fuzzy metric space, fixed point, CONTRACTIVE MAPPINGS, ALPHA, THEOREMS
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b-metric space. Also, we prove a Banach-type fixed point theorem and a new fixed point theorem for some self-mappings satisfying fuzzy psi-contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results.