Existence of Solutions to Generalized Bilevel Programming Problem

Existence of Solutions to Generalized Bilevel Programming Problem
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广义双层规划问题解的存在性

DOI:
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发表时间:
1998
期刊:
影响因子:
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通讯作者:
J. Morgan
J. Morgan
中科院分区:
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文献类型:
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作者:
M. B. Lignola;J. Morgan

文献摘要

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本文考虑了一类具有平衡约束或变分不等式约束的数学规划的推广,即具有由隐变分问题定义的约束的数学规划(它推广了变分不等式、拟变分不等式和Nash平衡等大量问题)。给出了参数隐变分问题解映射闭性的一般结果,并给出了广义双层规划问题解映射的存在性结果。
In this paper a generalization of mathematical programs with equilibrium constraints or variational inequality constraints is considered, that is a mathematical program with constraints defined by an implicit variational problem (which generalizes a large number of problems like variational inequalities, quasi-variational inequalities and Nash equilibria). General results on closedness of the solution map for a parametric implicit variationl problem are given with existence results for the generalized bilevel programming problem.