含参广义系统的真有效解映射的下半连续性

On the Lower Semicontionuity of Proper Efficient Solution Mapping of Parametric Generalized Systems

在实Hausdorff拓扑向量空间中,引进了含参广义系统的Henig有效解和超有效解的概念,得到了含参广义系统的Henig有效解与超有效解的标量化结果,并在标量化结果的基础上,研究了含参广义系统的Henig有效解集映射与超有效解集映射的下半连续性。

In this paper,the concepts of Henig efficient solution and super efficient solution to apara metric generalized system in real Hausdorff topological vector space are introduced. Scalar characterizations of Henig efficient solution and super efficient solution of the parametric generalized system are given. On the basis of the results,the lower semicontionuity of Henig efficient solution set and super efficient solution set to parametric generalized systems are gained.