Mathematical programs with equilibrium constraints: the existence of feasible points

L.J. Lin; Georg J. Still

doi:10.1080/02331930600703635

Mathematical programs with equilibrium constraints: the existence of feasible points

L.J. Lin, Georg J. Still

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

11 Citations (Scopus)

2 Downloads (Pure)

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 language	Undefined
Article number	10.1080/02331930600703635
Pages (from-to)	205-219
Number of pages	15
Journal	Optimization
Volume	55
Issue number	2/3
DOIs	https://doi.org/10.1080/02331930600703635
Publication status	Published - Jun 2006

Keywords

EWI-7579
IR-63577
METIS-238237

Access to Document

10.1080/02331930600703635

http://eprints.eemcs.utwente.nl/secure2/7579/01/lin_still-rev2.pdf

Cite this

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AB - 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.

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