Abadie's Constraint Qualification, Metric Regularity, and Error Bounds for Differentiable Convex Inequalities
Abadie's Constraint Qualification, Metric Regularity, and Error Bounds for Differentiable Convex Inequalities
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DOI：
10.1137/s1052623495287927
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发表时间：
1997-04
期刊：
影响因子：
--
通讯作者：
Wu Li
中科院分区：
文献类型：
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作者：
Wu Li
在本文中，我们研究可微凸不等式，并证明度量正则性和阿巴迪约束条件（CQ）对于此类不等式是等效的。对于凸二次不等式，我们证明了度量正则性、全局误差界限的存在以及阿巴迪的 CQ 是相互等价的。因此，我们得出了凸二次规划问题的弱锐极小值的两个新特征。
In this paper we study differentiable convex inequalities and prove that metric regularity and Abadie's constraint qualification (CQ) are equivalent for such inequalities. For convex quadratic inequalities, we show that metric regularity, the existence of a global error bound, and Abadie's CQ are mutually equivalent. As a consequence, we derive two new characterizations of weak sharp minima of a convex quadratic programming problem.