Document Type : Research Paper
Authors
- Amin Hosseini ^{} ^{1}
- Ajda Fosner ^{2}
^{1} Department of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran.
^{2} University of Primorska, Cankarjeva 5, SI-6000 Koper, Slovenia.
Abstract
The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points. Furthermore, this paper is an attempt to present compatibility definitions for the distance between a point and a subset of a metric-like space and also for the distance between two subsets of a metric-like space. In this study, we define the diameter of a subset of a metric-like space, and then we provide a definition for bounded subsets of a metric-like space. In line with the aforementioned issues, various examples are provided to better understand this space.
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Main Subjects
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