Mathematical programs with equilibrium constraints: the existence of feasible point

Mathematical programs with equilibrium constraints: the existence of feasible point

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Article ID: iaor2007426
Country: United Kingdom
Volume: 55
Issue: 3
Start Page Number: 205
End Page Number: 219
Publication Date: Jun 2006
Journal: Optimization
Authors: ,
Abstract:

This article studies three classes of optimization problems with bilevel structure including mathematical programs with equilibrium constraints and semi-infinite problems. 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.

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