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| 非紧L-凸度量空间中的抽象经济及约束多目标对策 | |
| 引用本文： | 文开庭,钱永江,安育成,薛朝奎.非紧L-凸度量空间中的抽象经济及约束多目标对策[J].毕节学院学报,2010,28(4):16-27. |
| 作者姓名： | 文开庭 钱永江 安育成 薛朝奎 |
| 作者单位： | 1. 毕节学院计算机科学系,贵州,毕节,551700 2. 毕节学院数学系,贵州,毕节,551700 3. 毕节学院数学系,贵州,毕节,551700;毕节学院计算机科学系,贵州,毕节,551700 |
| 基金项目： | 贵州省教育厅重点项目，毕节地区科技局经费资助项目 |
| 摘 要： | 利用非紧完备L-凸度量空间中的Fan-Browder不动点定理,建立了非紧完备L-凸度量空间中的极大元定理,研究了非紧完备L-凸度量空间中定性对策和抽象经济平衡存在性,以及约束多目标对策的加权Nash-平衡和Pareto平衡。 |
| 关 键 词： | L-凸度量空间 不动点 极大元 抽象经济 约束多目标对策 平衡点 |
Abstract Economies and Constrained Multiobjective Games in Noncompact L-convex Metric Spaces |
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| WEN Kai-ting,QIAN Yong-jiang,AN Yu-cheng,XUE Cao-kui.Abstract Economies and Constrained Multiobjective Games in Noncompact L-convex Metric Spaces[J].Journal of Bijie University,2010,28(4):16-27. | |
| Authors: | WEN Kai-ting QIAN Yong-jiang AN Yu-cheng XUE Cao-kui |
| Institution: | WEN Kai-ting1,QIAN Yong-jiang2,AN Yu-cheng2,XUE Cao-kui2(1.Department of Computer Science,Bijie University,Bijie,Guizhou 551700 China;2.Department of Mathematics,Bijie University,Bijie,Guizhou 551700,China) |
| Abstract: | By virtue of Fan-Browder fixed theorem in noncompact complete L-convex metric space,the maximal element theorem is established,equilibrium existence theorems for abstract economies and qualitative games,and weighted Nash-equilibrium and Pareto equilibrium for constrained multiobjective games are obtained in noncompact complete L-convex metric spaces. |
| Keywords: | L-convex Metric Space Fixed Point Maximal Element Abstract Economy Qualitative Game Constrained Multiobjective Game Equilibrium |
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