线性空间中向量极值问题的最优性条件

OPTIMALITY CONDITIONS OF VECTOR EXTREMUM PROBLEM IN LINEAR SPACES

文 [1]建立了线性拓扑空间中向量极值问题的广义 Kuhn- Tucker条件和 L agrange乘子存在定理 .本文将在线性空间中讨论这方面问题 ,首先在线性空间中建立了次似凸向量值映射的择一定理 ,进而得出序线性空间中向量极值问题的最优性条件及其标量化定理 .

In this paper,for the subconvex like mapping an alternative theorem is showed in the ordered linear spaces.On its basis,the optimality conditions and their scalarization theorems of the vector extremum problem are established in ordered linear spaces.