%0 Journal Article
%T 一类锥约束变分不等式问题的间隙函数和误差界<br>Gap Functions and Error Bounds for a Class of Variational Inequalities with Cone Constraints
%A 董文
%A 欧小庆
%A 李金富
%A 陈加伟&lt
%A br&gt
%A DONG Wen
%A OU Xiao-qing
%A LI Jing-fu
%A CHEN Jia-wei
%J 西南大学学报(自然科学版)
%D 2017
%R 10.13718/j.cnki.xdzk.2017.08.015
%X 鉴于间隙函数与误差界在优化方法中有重要的作用，特别地，误差界能刻画可行点和变分不等式解集之间的有效估计距离.利用像空间分析法，构造了带锥约束变分不等式的间隙函数.然后，利用此间隙函数，得到了带锥约束变分不等式的误差界.<br>The gap function and the error bound play an important role in optimization methods and the error bound, especially, can characterize the effective estimated distance between a feasible point and the solution set of variational inequalities. In this article, by using the image space analysis, gap functions for a class of variational inequalities with cone constraints are proposed. Moreover, error bounds, which provide an effective estimated distance between a feasible point and the solution set, for the variational inequalities are established via the gap functions
%K 约束变分不等式
%K 像空间分析
%K 间隙函数
%K 误差界&lt
%K br&gt
%K constrained variational inequality
%K image space analysis
%K gap function
%K error bound
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/8/201708015.htm