%0 Journal Article
%T On the Structure of Metric-like Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Hosseini, Amin
%A Fosner, Ajda
%D 2019
%\ 04/01/2019
%V 14
%N 1
%P 159-171
%! On the Structure of Metric-like Spaces
%K Metric-like space
%K Partial metric space
%K Metric space
%K Equal-like points
%K Completely separate points
%R 10.22130/scma.2018.74393.316
%X 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.
%U http://scma.maragheh.ac.ir/article_34895_b50d85dc44f99ed205ebcea9caa64428.pdf