一类集值映射的向量均衡问题  

A Class of Vector Equilibrium Problem for Multi-valued Mapping

作　　者：丁体明[1] 

机构地区：[1]四川农业大学数学系,雅安625014

出　　处：《应用数学学报》2007年第5期794-799,共6页Acta Mathematicae Applicatae Sinica

摘　　要：在拓扑向量空间内,研究了一类新的集值映射的广义向量均衡问题,利用KKM定理,证明了解的几个存在性定理,并讨论了解的性状.所得结果推广了近期一些作者的研究成果.　In the topological vector space, a new class of vector equilibrium problem for multi-valued mapping is introduced and studied. By using KKM theorem, some existence theorems of solutions for this kind of problems are proved and some properties of solutions are analyzed. The results presented in this paper extend some recent results in this field.

关 键 词：向量均衡问题 拓扑向量空间 KKM映射 

分 类 号：O177.91[理学—数学]