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Mathematical programs with equilibrium constraints: the existence of feasible point. (English) Zbl 1124.90033
Summary: 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.

MSC:
90C30 Nonlinear programming
90C34 Semi-infinite programming
49J53 Set-valued and variational analysis
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