Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algorithm for solving the variational inequality problem over the
  fixed point set of a quasi-nonexpansive operator in Euclidean space   This paper is concerned with the variational inequality problem (VIP) over
the fixed point set of a quasi-nonexpansive operator. We propose, in
particular, an algorithm which entails, at each step, projecting onto a
suitably chosen half-space, and prove that the sequences it generates converge
to the unique solution of the VIP. We also present an application of our result
to a hierarchical optimization problem.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
19
The categories of this paper are: eess
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex