局部凸<em>H-</em>空间内的约束多目标对策

丁协平

局部凸H-空间内的约束多目标对策

丁协平

四川师范大学数学与软件科学学院, 成都, 610066

基金项目: 国家自然科学基金资助项目(19871059);四川省教育厅重点科研资助项目([2000]25)

详细信息

作者简介:
丁协平(1938- ),男,四川自贡人,教授(E-mail:dingxip@sicnu.edu.cn)

中图分类号: O225;O177.92
计量
- 文章访问数: 2488
- HTML全文浏览量: 160
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- 被引次数: 0
出版历程
- 收稿日期: 2001-07-06
- 修回日期: 2003-03-07
- 刊出日期: 2003-05-15

Constrained Multiobjective Games in Locally Convex H-Spaces

DING Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China

摘要

摘要: 在没有线性结构的非紧局部凸H-空间内引入和研究了一类新的约束多目标对策。由应用对上半连续零调值映象的Fan-Glicksbery型不动点定理和极大定理,在非紧局部凸H-空间内对约束多目标对策的加权Nash-平衡和Pareto平衡证明了几个平衡存在定理。这些定理改进,统一和推广了最近文献内多目标对策的相应结果。
- 约束多目标对策 /
- 极大定理 /
- 不动点 /
- 加权Nash-平衡 /
- Pareto平衡 /
- 局部凸H-空间
Abstract: A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.
- constrained multiobjective game /
- maximum theorem /
- fixed point /
- weighted Nash-equilibria /
- Pareto equilibria /
- locally convex H-space

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参考文献(30)

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