Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Touching multifunctions on a Hilbert space   We introduce the concept of the touching of two multifunctions on a real
Hilbert space, and deduce that certain multifunctions on the space have a
unique fixed point. These result are applied to the theory of genaralized
cycles and generalized gap vectors for the composition of the projections onto
a finite number of closed convex space in a real Hilbert space.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg