Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The proximal point algorithm in metric spaces   The proximal point algorithm, which is a well-known tool for finding minima
of convex functions, is generalized from the classical Hilbert space framework
into a nonlinear setting, namely, geodesic metric spaces of nonpositive
curvature. We prove that the sequence generated by the proximal point algorithm
weakly converges to a minimizer, and also discuss a related question:
convergence of the gradient flow.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph