广义向量变分不等式的间隙函数与误差界  

Gap functions and error bounds for generalized vector variational inequalities

作　　者：陈霞[1] 陈纯荣[1] CHEN Xia CHEN Chun-rong(College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China)

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《山东大学学报（理学版）》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)

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.

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 

分 类 号：O221[理学—运筹学与控制论]