求解单调变分不等式的两类迭代算法

Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems

给出了求解单调变分不等式的两类迭代算法.通过解强单调变分不等式子问题,产生两个迭代点列,都弱收敛到变分不等式的解.最后,给出了这两类新算法的收敛性分析.

Two classes of iterative algorithms for solving monotone variational inequality prob- lems were proposed. Via solving strongly monotone variational inequality problem, the algorithms generated two iterative sequences which weakly converged to a solution of the variational inequality problems. In the end, the convergence of these two new classes of iterative algorithms was analyzed.