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集值映射的广义对称向量拟平衡问题
引用本文:张文燕,陈纯荣,李声杰.集值映射的广义对称向量拟平衡问题[J].运筹学学报,2006,10(3):24-32.
作者姓名:张文燕  陈纯荣  李声杰
作者单位:重庆大学数理学院,重庆,400044
基金项目:This research was partially supported by the National Natural Science Foundation of China(Grant numbers:60574073 and 10471142).
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.

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
收稿时间:2005-12-09
修稿时间:2005年12月9日

Generalized Symmetric Vector Quasi-Equilibrium Problems for Set-Valued Mappings
Zhang Wenyan,Chen Chunrong,Li Shenjie.Generalized Symmetric Vector Quasi-Equilibrium Problems for Set-Valued Mappings[J].OR Transactions,2006,10(3):24-32.
Authors:Zhang Wenyan  Chen Chunrong  Li Shenjie
Institution:College of Mathematics and Science, Chongqing University, Chongqing 400044, China
Abstract:In this paper,a generalized symmetric vector quasi-equilibrium problem is intro- duced,which is a generalization of a symmetric vector quasi-equilibrium problem of vector- valued mappings.In virtue of a nonlinear scalarization function,some existence results of solutions for generalized symmetric vector quasi-equilibrinm problem are established in locally convex Hausdorff topological vector space and Hausdorff topological vector space, respectively.
Keywords:Operation research  generalized symmetric vector quasi-equilibrium problem  nonlinear scalarization function  cone-naturally quasiconvex  upper semicontinuous  lower semicontinuous
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