摘要
本文提出了一类集值映射的广义对称向量拟平衡问题.利用非线性标量化函数,分别在局部凸Hausdorff拓扑向量空间和一般的Hausdorff拓扑向量空间中,证明了广义对称向量拟平衡问题解的存在性定理.
In this paper, a generalized symmetric vector quasi-equilibrium problem is introduced, which is a generalization of a symmetric vector quasi-equilibrium problem of vectorvalued mappings. In virtue of a nonlinear scalarization function, some existence results of solutions for generalized symmetric vector quasi-equilibrium problem are established in locally convex Hausdorff topological vector space and Hausdorff topological vector space, respectively.
出处
《运筹学学报》
CSCD
北大核心
2006年第3期24-32,共9页
Operations Research Transactions
基金
This research was partially supported by the National Natural Science Foundation of China(Grant numbers:60574073 and 10471142).
关键词
运筹学
广义对称向量拟平衡问题
非线性标量化函数
锥-自然拟凸
上半连续
下半连续
Operation research, generalized symmetric vector quasi-equilibrium problem, nonlinear scalarization function, cone-naturally quasiconvex, upper semicontin- uous, lower semicontinuous