一类广义变分不等式的间隙函数及其误差界

GAP FUNCTIONS AND ERROR BOUNDS FOR A CLASS OF GENERALIZED VARIATIONAL INEQUALITIES

构造了一类广义变分不等式的间隙函数,将一个变分不等式问题转化为一个最优化问题,从而可以利用解决优化问题的技巧和方法来解决变分不等式问题.利用间隙函数得到所求问题的误差界,以便用间隙函数的函数值估计可行点到解集的距离.

In this paper,Gap functions for a class of generalized variational inequality are investigated.Then,methods solving an optimization problem can be exploited for finding a solution of a variational inequality problem.We provide error bounds of the class of generalized variational inequality by using gap functions,so that the distance from feasible point to solution set are evaluated by using functions value of gap functions.