Hilbert空间中一类集值变分包含

A Class of Set-valued Variational Inclusions in Hilbert Spaces

在Hilbert空间中引入并研究了一类涉及广义极大单调映象的集值变分包含问题 .利用预解算子技巧构造这类变分包含解的迭代逼近算法 ,证明了解的存在性以及由算法生成的迭代序列的收敛性 .

The author introduces and studies a new class of set-valued variational inclusions involving generalized maximal monotone mapping in Hilbert spaces. By using the resolvent operator technique,the author constructs a new iterative approximation algorithm for solving this class of variational inclusions and proves the existence of solution for this class of variational inclusions and convergence of sequences generated by the algorithm.