论文标题
在某些最佳条件下，在数学编程中具有平衡约束的一系列问题
On some optimality conditions for a class of problems in mathematical programming with equilibrium constraints
论文作者
论文摘要
本文考虑了数学程序，其约束是通过参数化矢量平衡问题表示的。后者是一个公认的框架，能够涵盖多准则优化，矢量变化不平等和互补性问题。由于这里的媒介平衡问题解决方案的意图是有很强的意义，因此，随之而来的MPEC问题导致现有文献几乎没有探索的课程。通过惩罚方法建立了一些此类计划的必要最佳条件。为了得出和表达这些条件，采用了非平滑分析的概念和工具。在处理平衡约束时，通过变异分析的技术获得了一些误差界，这可能具有独立感兴趣。
This paper considers mathematical programs, whose constraints are expressed by a parameterized vector equilibrium problem. The latter is a well recognized framework, which is able to cover multicriteria optimization, vector variational inequalities and complementarity problems. As the solutions to vector equilibrium problems are here intended in a strong sense, the consequent MPEC problems result in a class still little explored by the existing literature. Some necessary optimality conditions for such programs are established following a penalization approach. To derive and express these conditions, concepts and tools of nonsmooth analysis are employed. In treating equilibrium constraints, by techniques of variational analysis some error bounds are obtained, which may be of independent interest.
