g-Eta-单调映像和解广义隐似变分包含的预解算子技巧  

g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions

作　　者：张清邦[1] 丁协平[2] 

机构地区：[1]北京工业大学应用数理学院,北京100022 [2]四川师范大学数学与软件科学学院,成都610066

出　　处：《应用数学和力学》2007年第1期9-16,共8页Applied Mathematics and Mechanics

基　　金：四川省教育厅重点科研基金资助项目(2003A081)

摘　　要：引入一类新的g-Eta-单调映像和一类涉及g-Eta-单调映像的广义隐似变分包含;定义了g-Eta-单调映像的预解算子,并证明了其Lipschitz连续性;分析和给出了这类涉及g-Eta-单调映像的广义隐似变分包含的迭代算法,并证明了其收敛性.A new class of g-Eta-monotone mappings and a class of generalized implicit variational-like indusions involving g-Eta-monotone mappings are introduced. The resolvent operator of g-Eta-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequence generated by the algorithm is also proved.

关 键 词：g-η-单调映像 预解算子 广义隐似变分包含 迭代算法 

分 类 号：O177.91[理学—数学]