摘要
在局部凸实拓扑向量空间中 ,给出了广义锥类凸向量映射的概念 ,研究了目标函数和约束函数均为广义锥类凸映射的向量极值问题 .首先 ,用拟切锥给出了向量极值问题极小点的充分条件 ;其次 ,用拟切锥给出了向量极值问题对应的标量化问题极小点的充分条件 ;最后 ,定义了极值问题的 Lagrangian函数 ,给出了 Lagrangian函数鞍点的概念 ,用拟切锥获得了鞍点的充分条件 .
Generalized cone convexlikeness vector extremum problems is considered in locally convex real toplogical vector spaces.Firstly, a sufficienct condition of minimal element in terms of quasitangent cone is obtained.Secondly, a sufficient condition of miniamal element of scalarization problems in terms of quasitangent cone is given. Finally, Lagrangian function of vector extremum problems is defined, and concept of saddlepoint of Lagrangian function is given, a sufficient condition of saddle point for vector extremum problems is established.
出处
《西北建筑工程学院学报（自然科学版）》
2001年第2期13-16,共4页
Journal of Northwestern Institute of Architectural Engineering
基金
长安大学青年科技发展基金资助项目 (Q0 0 1 0 0 2 3)
