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arXiv 1902.07512math.OC
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关于约束系统正则normal cone的估计及平稳性条件

On estimating the regular normal cone to constraint systems and stationarity conditions

Matúš Benko, Helmut Gfrerer

摘要:

约束系统的正则法锥估计对于导出精确的最优性必要条件最优性条件具有重要作用。我们提出了两种新的方法,并引入了一个新的平稳性的概念,这是强于M-平稳。我们将我们的理论应用于三类经常出现在文献中的数学程序。

英文摘要:

Estimating the regular normal cone to constraint systems plays an important role for the derivation of sharp necessary optimality conditions. We present two novel approaches and introduce a new stationarity concept which is stronger than M-stationarity. We apply our theory to three classes of mathematical programs frequently arising in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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