New fixed-circle results on fuzzy metric spaces with an application to dynamic market equilibrium
Mathematica Moravica, cilt.27, sa.1, ss.73-83, 2023 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.5937/matmor2301073k
- Dergi Adı: Mathematica Moravica
- Derginin Tarandığı İndeksler: MathSciNet, zbMATH
- Sayfa Sayıları: ss.73-83
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In this study, the fixed point theory on fuzzy metric spaces has been generalized to the fixed-circle theory by making a geometric interpretation. The necessary conditions to exist the fixed circles of a self-mapping have been investigated and the uniqueness of the circle is examined under suitable conditions. We present some illustrative examples of obtained results and also offer an application to confirm the utility of our established result for finding the unique solution of an integral equation appearing in the dynamic market equilibrium aspects of economics.