一类关于A—单调算子的广义变分包含组

在Hilbert空间中,引入并研究了一类新的关于A-单调算子的广义变分包含组问题,利用不动点定理证明了这类广义变分包含组解的存在性和唯一性,并且利用A-单调映像的预解算子技巧研究了这类变分包含组解的迭代算法逼近,及由算法生成的迭代序列的收敛性。

A Class of Monotone Operator Generalized Variational Inclusions

In this paper, in Hilbert space, we introduce and study a new class of A- monotone operator generalized variational inclusions problems. Using the fixed point theorem, proves the existence and uniqueness of the solution for this class of generalized variational inclusions. And the research for this kind of variational iterative algorithm approximate solutions contains solution operator by using the technique of Amonotone mappings, and convergence of the iterative sequences generated by the algorithm.