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局部FC-一致空间内的广义约束多目标对策

丁协平 黎进三 姚任之

丁协平, 黎进三, 姚任之. 局部FC-一致空间内的广义约束多目标对策[J]. 应用数学和力学, 2008, 29(3): 272-280.
引用本文: 丁协平, 黎进三, 姚任之. 局部FC-一致空间内的广义约束多目标对策[J]. 应用数学和力学, 2008, 29(3): 272-280.
DING Xie-ping, Lee Chin-san, YAO Jen-chih. Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(3): 272-280.
Citation: DING Xie-ping, Lee Chin-san, YAO Jen-chih. Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(3): 272-280.

局部FC-一致空间内的广义约束多目标对策

基金项目: 四川省教育厅重点科研基金资助项目(07ZA092);台湾科学委员会基金项目
详细信息
    作者简介:

    丁协平(1938- ),男,自贡人,教授(联系人.Tel:+86-28-84780952;E-mail:xieping_ding@hotmail.com);黎进三(1950- ),男,高雄人,教授;姚任之(1959- ),男,高雄人,教授,博士生导师.

  • 中图分类号: 221.2;O177.92

Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

  • 摘要: 在没有任何凸性结构的局部FC-一致空间内引入和研究了一类新的广义约束多目标对策,其中局中人数可以是有限或无限的和所有的支付函数可以取值于无限维空间.利用在局部FC-一致空间内得到的一个Himmelberg型不动点定理,在局部FC-一致空间内对广义约束多目标对策建立了某些弱Pareto平衡存在性定理.这些定理改进,统一和推广了最近文献中相应结果.
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出版历程
  • 收稿日期:  2007-01-06
  • 修回日期:  2008-01-16
  • 刊出日期:  2008-03-15

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