Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithms Based on Unions of Nonexpansive Maps   In this note, we consider a framework for the analysis of iterative
algorithms which can described in terms of a structured set-valued operator.
More precisely, at each point in the ambient space, we assume that the value of
operator can be expressed as a finite union of values of single-valued
paracontracting operators. Our main result, which shows that the associated
fixed point iteration is locally convergent around strong fixed points,
generalises a theorem due to Bauschke and Noll (2014).

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an