摘要
在局部G_凸空间内引入和研究了几类广义矢量拟平衡问题(GVQEP)· 包含了大多数广义矢量平衡问题,广义矢量变分不等式问题,拟平衡问题和拟变分不等式问题作为特殊情形· 首先在局部G_凸空间内对一人对策证明了一个平衡存在性定理· 作为应用。
Some classes of generalized vector quasi_equilibrium problems (in short,GVQEP) are introduced and studied in locally G_convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi_equilibrium problems and quasi_variational inequality problems as special cases. First, an equilibrium existence theorem for one person games is proved in locally G_convex spaces. As applications, some new existence theorems of solutions for the GVQEP are established in noncompact locally G_convex spaces. These results and argument methods are new and completely different from that in recent literature.
出处
《应用数学和力学》
EI
CSCD
北大核心
2005年第5期519-526,共8页
Applied Mathematics and Mechanics
基金
四川省教育厅重点科研基金资助项目(2003A081
SZD0406)
关键词
广义矢量拟平衡问题
一人对策
平衡
局部G-凸空间
generalized vector quasi_equilibrium problem
one person game
equilibrium
locally G_convex space
