Hemi metric spaces and Banach fixed point theorem
Applied General Topology, vol.25, no.1, pp.175-182, 2024 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 1
- Publication Date: 2024
- Doi Number: 10.4995/agt.2024.19780
- Journal Name: Applied General Topology
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals, DIALNET
- Page Numbers: pp.175-182
- Keywords: Banach contraction, fixed point, hemi-metric
- Open Archive Collection: AVESIS Open Access Collection
- Ankara Haci Bayram Veli University Affiliated: No
Abstract
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.