一类非光滑优化问题解集的性质(英文)

Characterizations of the solution set for a class of nonsmooth optimization problems

研究了一类带不等式约束的非光滑优化问题,利用Clarke次微分和Lagrange乘子研究该类问题的解集的一些性质,给出了一个例子解释主要结果,主要结论是对最近一些文献中相应结果的改进与推广。

In this paper, a class of nonsmooth optimization problems with inequality constraints is considered. Characterizations of the solution set are obtained in terms of Clarke subdifferentials and Lagrange multipliers. An example is given to illustrate the main results. The resluts improve and extend some previously known results.