Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Convergence Theorem by a New Extragradient Method for Fixed Point
  Problems and Variational Inequality Problems   We introduce a new extragradient iterative process, motivated and inspired by
[S. H. Khan, A Picard-Mann Hybrid Iterative Process, Fixed Point Theory and
Applications, doi:10.1186/1687-1812-2013-69], for finding a common element of
the set of fixed points of a nonexpansive mapping and the set of solutions of a
variational inequality for an inverse strongly monotone mapping in a Hilbert
space. Using this process, we prove a weak convergence theorem for the class of
nonexpansive mappings in Hilbert spaces. Finally, as an application, we give
some theorems by using resolvent operator and strictly pseudocontractive
mapping.

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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn