Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces   We propose the class of uniformly convex $W$-hyperbolic spaces with monotone
modulus of uniform convexity ($UCW$-hyperbolic spaces for short) as an
appropriate setting for the study of nonexpansive iterations. $UCW$-hyperbolic
spaces are a natural generalization both of uniformly convex normed spaces and
CAT(0)-spaces. Furthermore, we apply proof mining techniques to get effective
rates of asymptotic regularity for Ishikawa iterations of nonexpansive
self-mappings of closed convex subsets in $UCW$-hyperbolic spaces. These
effective results are new even for uniformly convex Banach spaces.

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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex