线性空间中向量极值问题的鞍点

SADDLE POINTS OF VECTOR EXTREMUM PROBLEMS IN LINEAR SPACE

首先在序线性空间中引入广义次似凸映射 ,建立其择一定理 .然后 ,在这种空间中定义向量 Fritz-John鞍点和向量 Kuhn- Tucker鞍点 ,我们讨论了其二者之间以及向量极值问题的弱有效解与他们的关系 .

Firstly,Generalized subconvexlikeness is introduced in ordered linear space,and the alternative theorems for it is established.And then,Vector Fritz John saddle point and Vector Kuhn Tucker saddle point are defined in this space,the relations between them,and between the weak efficient solution of vector extremum problems and them are dicussed.