Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the resolvent of the sum of operators with application to best
  approximation problems   We propose a flexible approach for computing the resolvent of the sum of
weakly monotone operators in real Hilbert spaces. This relies on splitting
methods where strong convergence is guaranteed. We also prove linear
convergence under Lipschitz continuity assumption. The approach is then applied
to computing the proximity operator of the sum of weakly convex functions, and
particularly to finding the best approximation to the intersection of convex
sets.

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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc