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。
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.
出处
《应用数学和力学》
CSCD
北大核心
2003年第5期441-449,共9页
Applied Mathematics and Mechanics
基金
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)
