辅助问题方法求解隐互补问题

Auxiliary method for solving implicit complementarity problems

目的研究用辅助问题方法求解隐互补问题。方法首先介绍推广的单调性的概念以及文中要用到的一些经典结论。结果利用辅助问题准则提出一种迭代算法求解隐互补问题,并证明隐互补问题与推广的变分不等式的等价性及该算法的全局收敛性。结论推广了经典互补问题的相应的结论。

Objective： To study auxiliary problem method for solving implicit complementarity problems. Methods： The generalized momotonicity definition and some classical conclusions were first introduced. Results： A class of iterative method buih on the auxiliary problem principle for solving implicit complementarity problem were suggested and analyzed, and the equivalence of implicit complementarity problem and generalized variational inequalities and the convergence of this method were proved. Conclusion ： The corresponding conclusions of the classical complementarity problem are generalized.