Mathematical programs with equilibrium constraints: the existence of feasible point

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 probl...

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Bibliographic Details
Published inOptimization Vol. 55; no. 3; pp. 205 - 219
Main Authors Lin, Lai-Jiu, Still, Georg
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.06.2006
Taylor & Francis LLC
Subjects
Bilevel problems
KKM property
Mathematical analysis
Mathematical problems
Mathematical problems with equilibrium constraints
Mathematics Subject Classifications 2000
Optimization
Properly quasimonotone
Semi-infinite problems
Studies
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ISSN0233-1934
1029-4945
DOI10.1080/02331930600703635

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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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331930600703635