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SYSTEM OF VECTOR QUASI-EQUILIBRIUM PROBLEMS AND ITS APPLICATIONS
引用本文:彭建文,杨新民,朱道立. SYSTEM OF VECTOR QUASI-EQUILIBRIUM PROBLEMS AND ITS APPLICATIONS[J]. 应用数学和力学(英文版), 2006, 27(8): 1107-1114. DOI: 10.1007/s 10483-006-0811-y
作者姓名:彭建文  杨新民  朱道立
作者单位:[1]Department of Mathematics, Chongqing Normal University, Chongqing 400047, P. R. China [2]School of Management, Fudan University, Shanghai 200433, P. R. China
基金项目:国家自然科学基金;重庆市自然科学基金;重庆市自然科学基金;国家博士后科学基金
摘    要:A new system of vector quasi-equilibrium problems is introduced and its existence of solution is proved. As applications, some existence results of weak Pareto equilibrium for both constrained multicriteria games and multicriteria games without constrained correspondences are also shown.

关 键 词:存在性 向量准平衡问题系统 多重博弈 弱Pareto平衡
文章编号:10.1007/s10483-006-0811-y
收稿时间:2003-06-27
修稿时间:2005-12-02

System of vector quasi-equilibrium problems and its applications
Jian-wei Peng Doctor,Xin-min Yang,Dao-li Zhu. System of vector quasi-equilibrium problems and its applications[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(8): 1107-1114. DOI: 10.1007/s 10483-006-0811-y
Authors:Jian-wei Peng Doctor  Xin-min Yang  Dao-li Zhu
Affiliation:1. Department of Mathematics,Chongqing Normal University,Chongqing 400047,P.R.China;School of Management,Fudan University,Shanghai 200433,P.R.China
2. Department of Mathematics,Chongqing Normal University,Chongqing 400047,P.R.China
3. School of Management,Fudan University,Shanghai 200433,P.R.China
Abstract:A new system of vector quasi-equilibrium problems is introduced and its existence of solution is proved. As applications, some existence results of weak Pareto equilibrium for both constrained multicriteria games and multicriteria games without constrained correspondences are also shown.
Keywords:existence  system of vector quasi-equilibrium problems  multicriteria game  C-upper semicontinuous  weak Pareto equilibrium
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