广义平衡与广义向量平衡  

Generalized Equilibrium Problems and Generalized Vector Equilibrium Problems

作　　者：于辉[1] 

机构地区：[1]重庆师范学院数学与计算机科学系,重庆400047

出　　处：《重庆师范学院学报（自然科学版）》2001年第1期32-35,68,共5页Journal of Chongqing Normal University(Natural Science Edition)

摘　　要：通过一种具有普遍意义的方法，在线性拓扑空间中获得一个新的广义平衡问题解的存在性定理。通过ξ函数和η函数，把广义平衡问题的解的存在性结果转化为广义向量平衡问题解的存在性定理。并给出了它在向量变分不等式中的应用。不论是广义平衡还是广义向量平衡的存在性结果都有区别或改进了现有文献的一些结果。By using a universal method a new existence theorem of solution for a generalized equilibrium problem in topological vector space is obtained. The existence results of solution for a generalized epuilibrium problem are translated into existence theorem of solution for generalized vector equilibrium problem via ξ function and η function ,and its applications in variational inequility are given.Not only existence results of generalized equilibrium but those of generalized vector equilibrium can distinguish or improve present results in literature.

关 键 词：广义平衡 广义向量平衡 Ζ函数 η函数 线性拓扑空间 集值映象 向量变分不等式 

分 类 号：O177.91[理学—数学]