一类广义向量平衡问题解的存在性  

On the existence of solutions for generalized vector equilibrium problems

作　　者：黄永辉[1] 

机构地区：[1]哈尔滨学院数学与计算机学院,哈尔滨150086

出　　处：《黑龙江大学自然科学学报》2007年第6期829-831,共3页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省教育厅科学技术研究项目(1055302611513042)

摘　　要：向量平衡问题包括向量变分不等式、向量优化问题、Nash平衡问题等。利用Fan-Browder型不动点定理,给出了广义向量平衡问题解的存在性定理。作为特殊情况,给出了隐式向量变分不等式解的存在性结论。结果改进和推广了已有结果。Vector equilibrium problems include vector variational inequality, vector optimization problem, Nash equilibrum problem, etc. By using Fan - Browder type fixed - point theorem, some existence results of solutions to generalized vector equilibrium problems are proved. As special cases, some existence results of solutions to implicit vector variational inequality are presented. These results extend and improve some recent results.

关 键 词：广义向量平衡问题 隐式向量变分不等式 C(x)-拟凸 下半连续 

分 类 号：O177.31[理学—数学]