求解一类广义非线性变分不等式组的迭代算法  

Iterative Methods for a System of Generalized Nonlinear Variational Inequalities

作　　者：隆建军 LONG Jianjun(Dahe Middle School,Panzhihua,Sichuan 617061,China)

机构地区：[1]大河中学,四川攀枝花617061

出　　处：《宜宾学院学报》2018年第6期60-64,共5页Journal of Yibin University

基　　金：四川省教育厅自然科学青年基金项目(2015ZA113)

摘　　要：在Hilbert空间,讨论了一类广义非线性变分不等式组解的存在性及迭代逼近,并做了相应的收敛性分析.所得结果推广和改进了目前一些文献只讨论包含一个非线性算子的变分不等式组以及提出算法是隐式的结果.The existence of solution and iterative approximation for a system of generalized nonlinear variational inequalities in Hilbert space was discussed.And the convergence analysis of this system was shown.The result extends some documents which study the system of variational inequalities including only one nonlinear operator and also improves the result to show the method is implicit.

关 键 词：广义非线性变分不等式组 迭代算法 预解算子技巧 

分 类 号：O177.91[理学—数学]