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

局部FC-一致空间内的广义约束多目标对策

1.
四川师范大学数学与软件科学学院,成都 610066;2.国立中山大学应用数学系,台湾高雄 82424;3.树德科技大学休闲事业管理系,台湾高雄 82445

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
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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

Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

1.
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China;

摘要

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．
- 局部FC-一致空间 /
- 不动点 /
- 广义约束多目标对策 /
- 弱Pareto平衡
Abstract: A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem in locally FC-uniform spaces, some existence theorems of weak Pareto equilibria for the generalized constrained multiobjective games are established in locally FC-uniform spaces, which improve, unify and generalize the corresponding results in recent literatures.
- locally FC-uniform space /
- fixed point /
- generalized constrained multiobjective game /
- weak Pareto equilibrium

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参考文献(33)

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局部FC-一致空间内的广义约束多目标对策

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.

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Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

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留言板

局部FC-一致空间内的广义约束多目标对策

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.

计量

出版历程

Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

计量

出版历程

目录

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.