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On the complex valued metric-like spaces

General Topology 2022-09-15 v1

Abstract

The main purpose of this paper is to study complex valued metric-like spaces as an extension of metric-like spaces, complex valued partial metric spaces, partial metric spaces, complex valued metric spaces and metric spaces. In this article, the concepts such as quasi-equal points, completely separate points, convergence of a sequence, Cauchy sequence, cluster points and complex diameter of a set are defined in a complex valued metric-like space.

Keywords

Cite

@article{arxiv.2209.06551,
  title  = {On the complex valued metric-like spaces},
  author = {A. Hosseini and M. Mohammadzadeh Karizaki},
  journal= {arXiv preprint arXiv:2209.06551},
  year   = {2022}
}

Comments

8 pages

R2 v1 2026-06-28T01:16:31.202Z