Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On generalized {\Phi}-strongly monotone mappings and algorithms for the
  solution of equations of Hammerstein type   In this paper, we consider the class of generalized {\Phi}-strongly monotone
mappings and the methods of approximating a solution of equations of
Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations
of Hammerstein type. The auxiliary mapping is the composition of bounded
generalized {\Phi}-strongly monotone mappings which satisfy the range
condition. Suitable conditions are imposed to obtain the boundedness and to
show that the auxiliary mapping is a generalized {\Phi}-strongly which
satisfies the range condition. A sequence is constructed and it is shown that
it converges strongly to a solution of equations of Hammerstein type. The
results in this paper improve and extend some recent corresponding results on
the approximation of a solution of equations of Hammerstein type.

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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an