广义非线性含参隐拟变分包含的灵敏性分析(英文)  

Sensitivity Analysis for Generalized Nonlinear Parametric Implicit Quasi-Variational Inclusion

作　　者：李军[1] 何中全[2] 王子文 

机构地区：[1]四川大学数学学院,成都610064 [2]四川师范学院数学系,四川南充637002 [3]成都高新区一中,成都610041

出　　处：《四川大学学报（自然科学版）》2002年第6期994-998,共5页Journal of Sichuan University(Natural Science Edition)

摘　　要：引入并研究了新的一类广义非线性含参隐拟变分包含,对极大单调映象使用预解算子技巧,证明了其解的存在性定理.进一步的,在Hilbert空间中分析了这类变分包含解的灵敏性.The authors introduce and study a new class of generalized nonlinear parametric implicit quasivariational inclusion, using the resolvent operator technique for maximal monotone mapping, they prove the existence theorem of solutions. Furthermore, the authors analyze the sensitivity of solutions for this kind of generalized nonlinear parametric implicit quasivariational inclusion in Hilbert spaces. Those results improve and generalize some recent results in this field.

关 键 词：广义非线性含参隐拟变分包含 强单调映象 LIPSCHITZ连续 存在性 预解算子 灵敏性分析 极大单调映象 

分 类 号：O177.91[理学—数学]