Mathematical programs with equilibrium constraints: the existence of feasible point
Lai-Jiu Lin, Georg J. Still · Optimization · 2006
This article studies three classes of optimization problems with bilevel structure including mathematical programs with equilibrium constraints (MPECs) and semi-infinite problems (SIPs). The main goal of this article is to provide results which establish the existence of feasible points of the problems. These results are based on the so-called KKM lemma. We are also interested in the convexity properties of these problems.