局部凸H-空间内的约束多目标对策  

Constrained Multiobjective Games in Locally Convex H-Spaces

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066

出　　处：《应用数学和力学》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)

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.

关 键 词：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 

分 类 号：O225[理学—运筹学与控制论] O177.92[理学—数学]