Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional extragradient algorithms for solving variational
  inequalities   In this paper, we generalize the classical extragradient algorithm for
solving variational inequality problems by utilizing nonzero normal vectors of
the feasible set. In particular, conceptual algorithms are proposed with two
different linesearchs. We then establish convergence results for these
algorithms under mild assumptions. Our study suggests that nonzero normal
vectors may significantly improve convergence if chosen appropriately.

34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph