广义凸拓扑线性空间集值优化的ε-强有效解  

ε-Strongly Efficient Solutions of Set-valued Optimization with Generalized Convex Topological Linear Space

作　　者：余丽[1] 

机构地区：[1]宜春学院数学与计算机科学学院,宜春336000

出　　处：《数学的实践与认识》2012年第8期207-213,共7页Mathematics in Practice and Theory

基　　金：江西省自然科学基金(0611081)

摘　　要：在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题(VP)的ε-强有效性.在内部锥类凸假设下,利用凸集分离定理,分别建立了关于ε-强有效解的标量化定理和ε-Lagrange乘子定理.The set-valued optimization problem with constraints（VP） is considered in the sense of e- strongly efficiency in Hausdorff locally convex topological linear spaces.Under the assumption of the ic-cone-convexlikeness,by applying separation theorem for convex sets,the scalarization theorems and theε- Lagrange multiplier theorems forε- strongly efficient solution are established,respectively.

关 键 词：ε-强有效解 内部锥类凸性 标量化定理 ε-Lagrange乘子定理 

分 类 号：O177.31[理学—数学]