线性拓扑空间中向量值函数的广义鞍点理论

Generalized saddlepoint theory for the vector-valued functions in linear topological space

介绍了序线性拓扑空间中向量值函数的广义鞍点概念及广义鞍点存在的条件 ,给出了广义鞍点与普通鞍点 。

The generalized saddlepoint concept for vector\|valued functions is introduced; and conditions for generalized saddlepoint existence are obtained.The relations between generalized saddlepoint and ordinary saddlepoint, and the relations between generalized saddlepoint and weak Pareto\|optimal solutions for the vector extremum problem are established.