Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An iterative scheme for solving equations with locally $\sigma$-inverse
  monotone operators   An iterative scheme for solving ill-posed nonlinear equations with locally
$\sigma$-inverse monotone operators is studied in this paper. A stopping rule
of discrepancy type is proposed. The existence of $u_{n_\delta}$ satisfying the
proposed stopping rule is proved. The convergence of this element to the
minimal-norm solution is justified mathematically.

6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th