Characterizations of the solution set for a class of nonsmooth optimization problems
Characterizations of the solution set for a class of nonsmooth optimization problems
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DOI：
10.1007/s11590-012-0471-y
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发表时间：
2012-03
影响因子：
1.6
通讯作者：
K. Zhao;Xinmin Yang
中科院分区：
文献类型：
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作者：
K. Zhao;Xinmin Yang
本文研究了一类带不等式约束的非光滑优化问题。证明了在适当的条件下，与固定拉格朗日乘子相关的拉格朗日函数在解集上是不变的。然后，给出了这类优化问题解集的一些刻画。文中给出了一些例子来说明我们的主要结果。
In this paper, a class of nonsmooth optimization problems with inequality constraints is considered. It is shown that the Lagrangian function associated with a fixed Lagrange multiplier is constant on the solution set under suitable conditions. Then, some characterizations of the solution set of this class of optimization problems are obtained. Examples are given to illustrate our main results.