一类新的含极大η-单调映象的完全广义非线性隐拟变分包含(英文)  

A New Class of Completely General Nonlinear Implicit Quasi-variational Inclusions Involving Maximal η-monotone Mappings

作　　者：金茂明[1] 

机构地区：[1]涪陵师范学院数学系,重庆涪陵408003

出　　处：《工程数学学报》2005年第3期407-412,共6页Chinese Journal of Engineering Mathematics

基　　金：This work was supported by the National Natural Science Foundation of China (10471151)National 863 Project(2003AA148040)the Educational Science Foundation of Chongqing,Chongqing of China(041302).

摘　　要：引入和研究了一类新的含极大η-单调映象的完全广义非线性隐拟变分包含。在Hilbert空间中使用极大η-单调映象的预解算子技巧,构造了新的扰动迭代算法,并证明了近似解序列强收敛于精确解。其所得结果是近期相关结果的改进和推广。This paper introduces and studies a new class of completely general nonlinear implicit quasi-variational inclusions involving maximal η-monotone mappings. By using the resolvent operator technique for maximal η-monotone mapping, we construct a new perturbed iterative algorithm, and prove that its proximate solution strongly converge to its exact solution in Hilbert spaces. Our results improve and generalize many known corresponding algorithms and results.

关 键 词：完全广义非线性隐拟变分包含 极大Η-单调映象 预解算子 算法 收敛性 

分 类 号：O177.91[理学—数学]