TY - JOUR
ID - 34895
TI - On the Structure of Metric-like Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hosseini, Amin
AU - Fosner, Ajda
AD - Department of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran.
AD - University of Primorska, Cankarjeva 5, SI-6000 Koper, Slovenia.
Y1 - 2019
PY - 2019
VL - 14
IS - 1
SP - 159
EP - 171
KW - Metric-like space
KW - Partial metric space
KW - Metric space
KW - Equal-like points
KW - Completely separate points
DO - 10.22130/scma.2018.74393.316
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_34895.html
L1 - https://scma.maragheh.ac.ir/article_34895_b50d85dc44f99ed205ebcea9caa64428.pdf
ER -