三层变分不等式问题的混合迭代算法

Hybrid method for triple hierarchical variational inequalities problem

针对定义在均衡问题与不动点问题的公共解集上的分层变分不等式的解的问题引入了一种新的混合迭代算法,证明了在一定参数条件下的强收敛性.所提出的算法也解决了另一种三层变分不等式的解的问题,推广了相关文献的结论.

We introduce a tems of variational inequali new hybrid iterative scheme to compute the approximate solutions of our sys- ties and the strong converge theorem is proved under some conditions. The hybrid iterative scheme also solves a triple hierarchical variational inequality problem. In addition, two nontrivial examples are presented and our results are applied to these examples.