Geodesic
On the complex valued metric-like spaces
Filomat, Tome 37 (2023) no. 15, p. 4903

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DOI

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. Moreover, this paper is an attempt to present compatibility definitions for the complex distance between a point and a subset of a complex valued metric-like space and also for the complex distance between two subsets of a complex valued metric-like space. In addition, the topological properties of this space are also investigated.
DOI : 10.2298/FIL2315903H
Classification : 54A05, 46A19
Keywords: Complex valued metric-like space, Metric-like space, complex valued partial metric space, Partial metric space, Metric space 
Amin Hosseini; Mehdi Mohammadzadeh Karizaki. On the complex valued metric-like spaces. Filomat, Tome 37 (2023) no. 15, p. 4903 . doi: 10.2298/FIL2315903H
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     title = {On the complex valued metric-like spaces},
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     doi = {10.2298/FIL2315903H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315903H/}
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