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·
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.
出处
《应用数学和力学》
CSCD
北大核心
2001年第2期140-150,共11页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助项目 ( 198710 59)
四川省教局厅科学基金
关键词
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
quasi_equilibrium problem
constrained multiobjective game
weighted Nash_equilibria
Pareto equilibria
generalized convex space(
