Second-Order Optimality Conditions in Minimax Optimization Problems
Second-Order Optimality Conditions in Minimax Optimization Problems
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DOI：
10.1007/s10957-012-0097-3
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发表时间：
2013-03
影响因子：
1.9
通讯作者：
Anulekha Dhara;A. Mehra
中科院分区：
文献类型：
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作者：
Anulekha Dhara;A. Mehra
本文主要研究极大极小问题的二阶最优性条件，其中约束由一个集合包含和有限个等式描述，并且所涉及的所有函数都是fr<s:1>可微的，具有局部Lipschitz导数。利用了Mangasarian Fromovitz正则性条件和二阶Abadie正则性条件。
The paper primarily is concerned with the second-order optimality conditions for minimax problems, where the constraints are described by a set inclusion and a finite number of equalities, and where all the functions involved are Fréchet differentiable with locally Lipschitz derivatives. We make use of the Mangasarian Fromovitz regularity conditions and of the second-order Abadie regularity conditions.