关于完全广义混合强非线性变分包含的迭代算法  

Iterative algorithm for a class of completely generalized mixed strongly nonlinear variational inclusions

作　　者：李红玉[1] 熊道统[2] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100 [2]延安大学数学系,陕西延安716000

出　　处：《山东大学学报（理学版）》2003年第4期43-45,共3页Journal of Shandong University(Natural Science)

摘　　要：引入并研究了Hilbert空间中一类新的完全广义混合强非线性变分包含 ,利用极大单调映射的预解算子技巧建立了新的三步迭代算法 。A new class of completely generalized mixed strongly nonlinear variational inclusions are introduced and studied in Hilbert space, new three step iterative algorithm is constructed by using the resolvent operator technique for maximal monotone mapping, the existence of solution and the convergence of sequences obtained by iterative algorithm are proved.

关 键 词：迭代算法 存在性 收敛性 HILBERT空间 完全广义混合强非线性变分包含 

分 类 号：O177.91[理学—数学]