摘要
利用线性标量化方法构造广义向量变分不等式的间隙函数,并利用广义f-投影算子的性质验证了正则间隙函数。在广义强伪单调的条件下得到了误差界结论。
Gap functions for generalized vector variational inequalities were established via linear scalarization approa- ches. By using some properties of generalized f-projection operators, the regularized gap function was verified. With the condition of the generalized strong pseudomonotonicity, error bounds were obtained.
作者
陈霞
陈纯荣
CHEN Xia CHEN Chun-rong(College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2017年第4期1-5,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11301567)
关键词
广义向量变分不等式
广义f-投影算子
广义强伪单调性
间隙函数
误差界
generalized vector variational inequalities
generalized f-projection
generalized strong pseudomonotonicity
gap function
error bound
