Öz
Kaynakça
- Cobani, S.,& Hoxha, E. (2024). A fixed point theorem on partial metric spaces of hyperbolic type. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 175-184.
Öz
In this research paper, we introduce the concept of partial metric spaces of hyperbolic type. When it comes to hyperbolic spaces, they are mostly studied in the context of metric spaces. A partial metric space is a generalization of a metric space, where self-distance is not necessarily zero. This concept became particularly interesting when Kumar et al. (2017) introduced and studied convex partial metric spaces. His result were useful in defining partial metric spaces of hyperbolic type, which is the kickoff point of our paper. After this, we focus our study in providing a proof of the existence of a fixed point for a non-self-mapping of a specific contracting type that was first introduced by Ćirić (2006). Our result is a generalization of the results of Ćirić and other cited authors. In the end an example is provided. This example serves to illustrate the applicability of our fixed point theorem and shows that results from metric spaces of hyperbolic type can be extended to partial metric spaces of hyperbolic type.
Anahtar Kelimeler
Partial metric space Non-self-mapping Contraction Fixed point
Kaynakça
- Cobani, S.,& Hoxha, E. (2024). A fixed point theorem on partial metric spaces of hyperbolic type. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 175-184.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Yazılım Mühendisliği (Diğer) |
| Bölüm | Makaleler |
| Yazarlar | |
| Erken Görünüm Tarihi | 20 Temmuz 2024 |
| Yayımlanma Tarihi | 1 Ağustos 2024 |
| Gönderilme Tarihi | 7 Şubat 2024 |
| Kabul Tarihi | 15 Nisan 2024 |
| Yayımlandığı Sayı | Yıl 2024 Cilt: 28 |
