Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quadratic rate of asymptotic regularity for CAT(0)-spaces   In this paper we obtain a quadratic bound on the rate of asymptotic
regularity for the Krasnoselski-Mann iterations of nonexpansive mappings in
CAT(0)-spaces, whereas previous results guarantee only exponential bounds. The
method we use is to extend to the more general setting of uniformly convex
hyperbolic spaces a quantitative version of a strengthening of Groetsch's
theorem obtained by Kohlenbach using methods from mathematical logic (so-called
``proof mining'').

26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th