中文摘要：

在Hilbert空间中引进和研究了一类带η-单调算子的非线性似变分包含组（SNVLI），得到了SNVLI解的存在定理，给出了一个新的迭代算法，讨论了由迭代算法确定的序列关于SNVLI解的收敛性．本文的工作推广和改进了很多已知的结果．

英文摘要：

In this paper, we introduce and study a new system of nonlinear variational-like inclusions with y-monotone mappings in Hilbert spaces. Using Banach Contract Mapping Principle, we prove the solutions existence and uniqueness for the system of variational inclusions, we also construct a new algorithm for approximating the solutions of the system of variational inclusions and discuss the convergence of iterative sequences generated by the algorithm. These results improve and promate many known results in the literature.