Banach空间中含(A,η,m)-增生算子的一类新广义非线性集值变分包含组  

A new system of generalized nonlinear set-valued variational inclusions involving(A,η,m)-accretive operator in Banach spaces

作　　者：祝聪[1,2] 倪仁兴[2] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004 [2]绍兴文理学院数学系,浙江绍兴312000

出　　处：《浙江师范大学学报（自然科学版）》2012年第1期24-31,共8页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10971194);浙江省教育厅科研项目(2009210603;Y201122300)

摘　　要：考察Banach空间中含(A,η,m)-增生映射的一类新广义非线性集值变分包含组.运用Nadler引理,将广义预解算子技术与(A,η,m)-增生算子联系起来,通过构造新的迭代算法,在适当的条件下证明了该迭代算法是强收敛的.A new system of generalized nonlinear set-valued variational inclusions involving（A,η,m）-accretive operator in Banach spaces was studied.By Nadler′s lemma and the new generalized resolvent operator technique associated with（A,η,m）-accretive operator,it was constructed some new iterative algorithms,under suitable conditions,some strong convergence theorems were proved.

关 键 词：广义非线性集值变分包含组 (A η m)-增生算子 广义预解算子技术 Ishikawa型迭代算法 收敛性 

分 类 号：O177.91[理学—数学]