| 广义向量锥拟凸拟平衡系统的存在性定理 |
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| 引用本文： | 陈剑尘,王进朵.广义向量锥拟凸拟平衡系统的存在性定理[J].吉首大学学报(自然科学版),2012,33(1):12-17. |
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| 作者姓名： | 陈剑尘 王进朵 |
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| 作者单位： | (南昌航空大学数学与信息科学学院,南昌 江西 330063) |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11061023);Natural Science Foundation of Jiangxi Province(2010GZS0176);Doctor Startup Project(EA200907383) |
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| 摘 要： | 在实局部凸Hausdorff拓扑空间中证明了广义向量锥拟凸拟平衡系统的存在性定理.作为它的应用，得到了多目标广义系统问题弱Pareto-Nash均衡点的存在性结果.
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| 关 键 词： | 广义向量锥拟凸拟平衡系统 存在性定理 弱Pareto-Nash均衡点 |
Existence Theorems of Solutions for the System of Generalized Vector Cone-Properly Quasi-Convex Quasi-Equilibrium Problems |
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| CHEN Jian-chen,WANG Jin-duo.Existence Theorems of Solutions for the System of Generalized Vector Cone-Properly Quasi-Convex Quasi-Equilibrium Problems[J].Journal of Jishou University(Natural Science Edition),2012,33(1):12-17. |
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| Authors: | CHEN Jian-chen WANG Jin-duo |
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| Institution: | (College of Mathematics and Information Science Nanchang Hangkong University,Nanchang 330063,Jiangxi China) |
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| Abstract: | The system of generalized vector cone-properly quasi-convex quasi-equilibrium problems is considered.As its applications.The existence results are derived for weakly Pareto-Nash equilibrium points for multiobjective generalized game problems and multiobjective game problems in real locally convex Hausdorff topological spaces. |
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| Keywords: | system of generalized vector cone-properly quasi-convex quasi-equilibrium problems weakly Pareto-Nash equilibrium point |
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