Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on the metrizability of some well known generalized
  metric-like structures   In \cite[\, An, V.T., Tuyen, Q.L. and Dung, V.N., Stone-type theorem on
$b$-metric spaces and applications, Topology Appl. 185-186 (2015), 50-64.]{an},
An et al. had provided a sufficient condition for $b$-metric spaces to be
metrizable. However, their proof of metrizability relied on an assumption that
the distance function is continuous in one variable. In this short note, we
improve upon this result in a more simplified way without considering any
assumption on the distance function. Moreover, we provide two shorter proofs of
the metrizability of $\mathcal{F}$-metric spaces recently introduced by Jleli
and Samet in \cite[\, Jleli, M. and Samet, B., On a new generalization of
metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}. Lastly, in this
short note, we give an alternative proof of the metrizability of
$\theta$-metric spaces introduced by Khojasteh et al. in \cite[\, Khojasteh,
F., Karapinar, E. and Radenovic, S., $\theta$-metric space: A Generalization,
Math. Probl. Eng. Volume 2013, Article 504609, 7 pages]{ks}.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con