Mathematical programs with equilibrium constraints: the existence of feasible points

L.J. Lin, Georg J. Still

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Abstract

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.
Original languageUndefined
Article number10.1080/02331930600703635
Pages (from-to)205-219
Number of pages15
JournalOptimization
Volume55
Issue number2/3
DOIs
Publication statusPublished - Jun 2006

Keywords

  • EWI-7579
  • IR-63577
  • METIS-238237

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