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- Title
Existence Theorems for Bilevel Problem with Applications to Mathematical Program with Equilibrium Constraint and Semi-Infinite Problem.
- Authors
Lin, L. J.
- Abstract
In this paper, we establish existence theorems for bilevel problems with fixed-point constraints and bilevel problems without fixed-point constraint. The aim of this paper is to investigate under which conditions the existence of a feasible point of a bilevel problem can be assumed in advance and under which conditions there exist minimizers for this type of problems. From this, we establish existence theorems for mathematical programs with equilibrium constraints and semi-infinite problems.
- Subjects
EXISTENCE theorems; MATHEMATICAL programming; EQUILIBRIUM; INFINITY (Mathematics); DIFFERENTIAL equations; MATHEMATICAL analysis
- Publication
Journal of Optimization Theory & Applications, 2008, Vol 137, Issue 1, p27
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-007-9283-0