集值优化问题弱尖锐解的最优性条件
Optimality conditions for weak sharp minima in set valued optimization

给出了带有一般约束集值优化问题弱尖锐解的定义并将其在向量优化中的结论推广到集值优化中. 进一步地, 利用Mordukhvich法锥对其在有限维空间中的最优性条件进行了研究. 最后引入非线性标量化函数并借助凸集分离定理得到了弱尖锐解的等价命题.
In this paper, we discuss the weak sharp minima about the general constraint of set valued optimization problems and also extend the conclusion from the vector optimization to the set valued optimization. Then we give the optimality conditions in finite dimensional space by the method of Mordukhpvich cone. Finally, we get the equivalent propositions with the help of convex set separation theorem by introducing the nonlinear scalar function