Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak partial $b$-metric space and Nadler's theorem   We study the notions of weak partial $b$-metric space and weak partial
Hausdorff $b$-metric space. Moreover, we intend to generalize Nadler's theorem
in weak partial $b$-metric space by using weak partial Hausdorff $b$-metric
spaces. A non-trivial example to show the validity of our result is given.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int