实Hilbert空间中的带有H-η-单调算子的变分包含问题

摘要

In this paper,a class of variational inclusions with H-η-monotone operators is introduced in a real Hilbert space. An iterative method for solving this class of variational inclusions is presented and analyzed by means of the resolvent operators of H-η-monotone mapping.%介绍了实Hilbert空间中的一类带有H-η-单调算子的变分包含问题.利用H-η-单调算子的预解算子,提出了一个求解这类变分包含问题的迭代算法,分析了包含问题的解的存在性和算法的强收敛性.