Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Golden Ratio Algorithms for Variational Inequalities   The paper presents a fully explicit algorithm for monotone variational
inequalities. The method uses variable stepsizes that are computed using two
previous iterates as an approximation of the local Lipschitz constant without
running a linesearch. Thus, each iteration of the method requires only one
evaluation of a monotone operator $F$ and a proximal mapping $g$. The operator
$F$ need not be Lipschitz-continuous, which also makes the algorithm
interesting in the area of composite minimization where one cannot use the
descent lemma. The method exhibits an ergodic $O(1/k)$ convergence rate and
$R$-linear rate, if $F, g$ satisfy the error bound condition. We discuss
possible applications of the method to fixed point problems. We discuss
possible applications of the method to fixed point problems as well as its
different generalizations.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex