Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Convex Feasibility Problem   The convergence of the projection algorithm for solving the convex
feasibility problem for a family of closed convex sets, is in connection with
the regularity properties of the family. In the paper [18] are pointed out four
cases of such a family depending of the two characteristics: the emptiness and
boudedness of the intersection of the family. The case four (the interior of
the intersection is empty and the intersection itself is bounded) is unsolved.
In this paper we give a (partial) answer for the case four: in the case of two
closed convex sets in R3 the regularity property holds.

16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th