一类锥约束变分不等式问题的间隙函数和误差界

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.

Gap Functions and Error Bounds for a Class of Variational Inequalities with Cone Constraints

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.