混合似变分不等式的一个新预解算法

A new resolvent algorithm for mixed quasivariational inequalities

研究了混合似变分不等式的若干迭代算法,利用混合似变分不等式与不动点问题和预解方程这一等价关系,并结合预测-校正迭代算法技巧,给出了一种全新的求解混合似变分不等式的预解迭代算法.在算子是伪单调连续条件下,证明了新提出算法的收敛性.

In this paper, the author studies several iterative methods for solving mixed quasi - variational inequalites. It is well known that the mixed quasi- variational inequalities are equivalent to the fixed point problems and the resolvent equations. Using this equivalence and combining prediction -correction method technique, the author suggests and analyzes a new resolvent iterative method for solving mixed quasi - variational inequalities. These methods converge for pseudomonotone and continuous operators.