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向量拟平衡问题系统及其应用

彭建文 杨新民 朱道立

彭建文, 杨新民, 朱道立. 向量拟平衡问题系统及其应用[J]. 应用数学和力学, 2006, 27(8): 963-970.
引用本文: 彭建文, 杨新民, 朱道立. 向量拟平衡问题系统及其应用[J]. 应用数学和力学, 2006, 27(8): 963-970.
PENG Jian-wen, YANG Xin-min, ZHU Dao-li. System of Vector Quasi-Equilibrium Problems and Its Applications[J]. Applied Mathematics and Mechanics, 2006, 27(8): 963-970.
Citation: PENG Jian-wen, YANG Xin-min, ZHU Dao-li. System of Vector Quasi-Equilibrium Problems and Its Applications[J]. Applied Mathematics and Mechanics, 2006, 27(8): 963-970.

向量拟平衡问题系统及其应用

基金项目: 国家自然科学基金资助项目(10171118;70432001);重庆市教委应用基础研究基金资助项目(030801);重庆市自然科学基金资助项目(8409);中国博士后基金资助项目
详细信息
    作者简介:

    彭建文(1967- ),男,四川仁寿人,副教授,博士(联系人.Tel:+86-23-65362798;E-mail:jwpeng6@yahoo.com.cn).

  • 中图分类号: O255;O177.92

System of Vector Quasi-Equilibrium Problems and Its Applications

  • 摘要: 引入了向量拟平衡问题系统并证明了其解的存在性定理.作为应用,还得到约束多目标对策和无约束多目标对策弱Pareto平衡的一些存在性结果.
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    [15] Yuan X Z, Tarafdar E. Non-compact Pareto equilibria for multiobjective games[J]. J Math Anal Appl,1996,204(1):156—163. doi: 10.1006/jmaa.1996.0429
    [16] Luc D T.Theory of Vector Optimization[M].Berlin:Springer-Verlag,1989.
    [17] Luc D T,Vargas C A.A saddle-point theorem for set-valued maps[J].Nonlinear Analysis:Theory, Methods, and Applications,1992,18(1):1—7. doi: 10.1016/0362-546X(92)90044-F
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出版历程
  • 收稿日期:  2003-06-27
  • 修回日期:  2005-12-02
  • 刊出日期:  2006-08-15

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