广义集值变分包含解的具误差的迭代逼近  

Iterative approximation with errors of solution to general multi-valued variational inclusions

作　　者：高兴慧[1] 马乐荣[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西南民族大学学报（自然科学版）》2006年第6期1091-1095,共5页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10271093)

摘　　要：引入和研究了一类新的广义集值变分包含.在Hilbert空间中利用与极大η-单调映象相联系的预解算子的性质,构造了这类变分包含解的具有误差的迭代算法,并证明了由此迭代算法生成的迭代序列强收敛于这类变分包含的解。其所得结果是近期相关结果的改进和推广.In this paper,we introduce and study a new class of general multi-valued variational inclusions.By using the properties of the resolvent operator associated with maximal η ? montone mapping in Hilbert space,we suggest a new iterative algorithm with errors for finding approximate solutions which strongly converge to the exact solution of general multi-valued variational inclusions.The results presented in this paper extend and improve many known results in the literature.

关 键 词：广义集值变分包含 极大Η-单调映象 预解算子 具误差的迭代算法 收敛性 

分 类 号：O177.91[理学—数学]