Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On (local) analysis of multifunctions via subspaces contained in graphs
  of generalized derivatives   The paper deals with a comprehensive theory of mappings, whose local behavior
can be described by means of linear subspaces, contained in the graphs of two
(primal and dual) generalized derivatives. This class of mappings includes the
graphically Lipschitzian mappings and thus a number of multifunctions,
frequently arising in optimization and equilibrium problems. The developed
theory makes use of own generalized derivatives, provides us with some calculus
rules and reveals a number of interesting connections. In particular, it
enables us to construct a modification of the semismooth* Newton method with
improved convergence properties and to derive a generalization of Clarke's
Inverse Function Theorem to multifunctions together with new efficient
characterizations of strong metric (sub)regularity and tilt stability.

3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con