强伪单调拟变分不等式问题的误差界  

The error bound of quasi variational inequalities problem involving strong pseudomonotonicity

作　　者：张银凤 余国林[1] 刘三阳 ZHANG Yinfeng;YU Guolin;LIU Sanyang(Institute of Applied Mathematics,North Minzu University,Yinchuan,Ningxia 750021,China;School of Mathematics and Statistics,Xidian university,Xi'an Shanxi 710071,China)

机构地区：[1]北方民族大学应用数学研究所,宁夏银川750021 [2]西安电子科技大学数学与统计学院,陕西西安710071

出　　处：《南昌大学学报（理科版）》2017年第6期527-530,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助(11361001);宁夏自然科学基金(NZ17112);宁夏一流学科建设项目(NXYLXK2017B09)

摘　　要：研究拟变分不等式的误差界问题。首先在强伪单调性假设下,得到了拟变分不等式问题由剩余函数刻画的一个误差界。其次,利用参数投影算子的性质,建立了强伪单调拟变分不等式问题的误差界。本文所得结果推广和深化了强单调变分不等式的相应结论。This note is devoted to the study of the error bound for quasi variational inequality problem.Firstly,under the strong pseudomonotonicity assumption,an error bound for the quasi variational inequality problem is established in term of residue function.Secondly,employing the properties of projection operator yields another error bound.The results generalize and deepen that of strong monotone variational inequality problem.

关 键 词：拟变分不等式 强伪单调性 误差界 剩余函数 投影算子 

分 类 号：O221[理学—运筹学与控制论]