中文摘要：

通过引入更多的变量参与构造分离当前迭代点和解集的超平面，我们设计了求解混合变分不等式的—个新的投影型方法．在适当的条件下，分析了算法的收敛性和收敛率，并通过数值实验说明了该算法的可行性．新算法为一些已有的方法提供了更—般的算法框架．

英文摘要：

By introducing more variables to construct a hyperplane separating the current iterate from the solution set, we establish a new projection type method for mixed variational inequalities. Under some suitable assumptions, we analyze the convergence and the rate of convergence of the proposed method. Moreover, numerical experiments are reported. The method presented in this paper provides a more general framework of some existing methods.