广义锥-s次类凸向量优化的标量化和鞍点定理  

The Theorems of Scalarization and Saddle Point of Generalized Cone s-subconvexlike Vector Optimization Problem

作　　者：朱凤娟[1] 余国林[1] 

机构地区：[1]北京民族大学基础部,宁夏银川750021

出　　处：《大学数学》2009年第4期52-54,共3页College Mathematics

基　　金：国家自然科学基金资助项目(60674708);国家民委科研项目(09BF06)

摘　　要：讨论序拓扑向量空间中的约束向量优化问题.在广义锥-s次类凸假设下,得到了向量优化问题关于δ-弱有效解的标量化定理和Lagrange泛函的鞍点定理.This paper deals with the constrained vector optimization problem in order topological vector spaces.Under the assumption of generalized cone s-subconvexlikerness,the scalarization theorem and the saddle point theorem of Lagrange functions for δ-weakly effective solution in vector optimization are proposed.

关 键 词：向量优化 广义锥-s次类凸性 δ-弱有效性 标量化 鞍点 

分 类 号：O221.2[理学—运筹学与控制论]