Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical programming techniques for equilibrium problems involving
  quasiconvex bifunctions without monotonicity   We attempt to provide an algorithm for approximating a solution of the
quasiconvex equilibrium problem that was proved to exist a solution by K. Fan
1972. The proposed algorithm is an iterative procedure, where the search
direction at each iteration is a normal-subgradient, while the step-size is
updated avoiding Lipschitz-type conditions. The algorithm is convergent to a
$\rho$- quasi-solution with any positive $\rho$ if the bifunction $f$ is
semistrictly quasiconvex in its second variable, while it converges to the
solution when $f$ is strongly quasiconvex. Neither monotoniciy nor Lipschitz
property is required.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph