广义凸空间内的拟平衡问题和约束多目标对策

丁协平

广义凸空间内的拟平衡问题和约束多目标对策

丁协平

四川师范大学数学系,成都 610066

基金项目: 国家自然科学基金资助项目(19871059);四川省教局厅科学基金

详细信息

作者简介:
丁协平(1938- ),男,四川自贡人,教授.

中图分类号: O225
计量
- 文章访问数: 2217
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- 被引次数: 0
出版历程
- 收稿日期: 1999-09-20
- 修回日期: 2000-10-15
- 刊出日期: 2001-02-15

Qusi-Equilibrium Problems and Constrained Multiobjective Games in Generalized Convex Space

DING Xie-ping

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

摘要

摘要: 在没有线性结构的广义凸空间内研究了一类拟平衡问题和一类约束多目标对策.首先在非紧广义凸空间内对拟平衡问题证明了两个解的存在性定理.然后作为拟平衡存在定理的应用,在广义凸空间内对约束多目标对策建立了几个加权Nash-平衡和帕雷多平衡存在定理.这些定理改进、统一和推广了最近文献中多目标对策的相应结果.
- 拟平衡问题 /
- 约束多目标对策 /
- 加权Nash-平衡 /
- 帕雷多平衡 /
- 广义凸空间
Abstract: A class of quasi-equilibrium problems and a class of constrained multiobjective games were introduced and studied in generalized convex spaces without linear structure. First, two existence theorems of solutions for quasi-equilibrium problems are proved in noncompact generalized convex spaces. Then, as applications of the quasi-equilibrium existence theorem, several existence theorems of weighted Nash-equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact generalized convex spaces. These theorems improve, unify and generalize the corresponding results of the multiobjective games in recent literatures.
- quasi-equilibrium problem /
- constrained multiobjective game /
- weighted Nash-equilibria /
- Pareto equilibria /
- generalized convex space

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参考文献(32)

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