Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraint qualifications and optimality conditions in bilevel
  optimization   In this paper we study constraint qualifications and optimality conditions
for bilevel programming problems. We strive to derive checkable constraint
qualifications in terms of problem data and applicable optimality conditions.
For the bilevel program with convex lower level program we discuss drawbacks of
reformulating a bilevel programming problem by the mathematical program with
complementarity constraints and present a new sharp necessary optimality
condition for the reformulation by the mathematical program with a generalized
equation constraint. For the bilevel program with a nonconvex lower level
program we propose a relaxed constant positive linear dependence (RCPLD)
condition for the combined program.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph