序凸锥为非点式锥时向量极值问题的Lagrange乘子定理

LAGRANGE MULTIPLIER THEOREM OF VECTOR EXTREMAL PROBLEMS WHEN ORDERED CONVEX CONES ARE NONPOINTED CONES

本文在非常一般的偏序线性空间中 ,利用 Morris序列以及商空间理论 ,讨论了序凸锥为非点式锥 ,且所含映射均为集到集映射的向量极值问题的Lagrange乘子定理 .

In this paper,with the help of the theory of quotient space and Morris sequence,the Lagrange multiplier theorem of vector extremal problems with set-to-set maps is extended to the nonpointed ordered convex cones.