Existence Theorems for Bilevel Problem with Applications to Mathematical Program with Equilibrium Constraint and Semi-Infinite Problem

L. J. Lin ()
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L. J. Lin: National Changhua University of Education

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 1, No 3, 27-40

Abstract: 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.

Keywords: Bilevel problems; Mathematical programs with equilibrium constraints; Semi-infinite problems; Lower (upper) semicontinuous multivalued maps (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9283-0

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