Hemi metric spaces and Banach fixed point theorem
Applied General Topology, cilt.25, sa.1, ss.175-182, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.4995/agt.2024.19780
- Dergi Adı: Applied General Topology
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals, DIALNET
- Sayfa Sayıları: ss.175-182
- Anahtar Kelimeler: Banach contraction, fixed point, hemi-metric
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır
Özet
In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of 2-metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle was proved and an application to Fredholm integral equation were gived in hemi metric spaces.