@article {
author = {Hosseini, Amin and Fosner, Ajda},
title = {On the Structure of Metric-like Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {14},
number = {1},
pages = {159-171},
year = {2019},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.74393.316},
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.},
keywords = {Metric-like space,Partial metric space,Metric space,Equal-like points,Completely separate points},
url = {http://scma.maragheh.ac.ir/article_34895.html},
eprint = {http://scma.maragheh.ac.ir/article_34895_b50d85dc44f99ed205ebcea9caa64428.pdf}
}