一类新广义非线性似变分不等式组解的迭代算法  

Iterative Algorithm for a New System of Generalized Nonlinear Variational-Like Inequalities

作　　者：曹寒问[1] 

机构地区：[1]南昌工程学院理学系,江西南昌330099

出　　处：《南昌大学学报（理科版）》2010年第3期221-226,共6页Journal of Nanchang University(Natural Science)

基　　金：江西省教育厅青年科学基金项目(GJJ10269)

摘　　要：在Hilbert空间中引进一类新的广义非线性似变分不等式组问题,利用豫解算子技巧,构造了一个新的迭代算法,并证明了此迭代算法的收敛性。同时证明了它产生的变分不等式组解的存在性与唯一性。所得结果推广和统一了一些近期相关结果。A new system of generalized nonlinear like-variational inequalities are introduced and studied in Hilbert spaces.By using resolvent operator technique,it presents a new iterative algorithm and proves the convergence.At the same time,it proves uniqueness of solution for this system of variational inequalities.The results are new,which unify and extend the previously known results in the literature.

关 键 词：广义非线性似变分不等式组 Η-次微分 迭代算法 收敛性 

分 类 号：O177.91[理学—数学]