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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8926

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8926

Title:	Existence Theorems for Bilevel Problem with�Applications to Mathematical Program with�Equilibrium Constraint and Semi-Infinite Problem
Authors:	L. J. Lin
Contributors:	數學系
Keywords:	Bilevel problems;Mathematical programs with equilibrium constraints;Semi-infinite problems;Lower (upper) semicontinuous multivalued maps
Date:	2008-04
Issue Date:	2011-05-10T06:50:36Z
Publisher:	Springer Verlag
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.
Relation:	Journal of Optimization Theory and Applications, 137(1):27-40
Appears in Collections:	[math] Periodical Articles

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