迭代程序强收敛于广义拟变分包含解的表征  

On Characterizations of the Strong Convergence of the Iterative Process to Solutions of Generalized Quasi-variational Inclusions

作　　者：倪仁兴[1] 冯先智[2] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000 [2]台州学院数学系,浙江台州317000

出　　处：《宁夏大学学报（自然科学版）》2008年第4期289-293,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10271025);浙江省自然科学基金资助项目(Y606717);浙江省教育厅科研计划重点资助项目(20061154)

摘　　要：研究了一致光滑实Banach空间中含k-次增生映射和φ-强增生映射的一类无紧性条件的广义拟变分包含解的逼近问题,给出了具混合误差的Ishikawa迭代序列强收敛到广义拟变分包含解的特征定理,所得结果改进和推广了近期许多相关结果.The approximation problem of solutions to a class of generalized quasi-variational inclusions including k-subaccretive mapping and φ-strongly accretive mapping without compactness conditions is investigated. The characterization theorems that the Ishikawa iterative sequences with mixed errors convergences strongly to solutions of quasi-variational inclusions are given. These results improve and generalize many recent known corresponding results.

关 键 词：广义拟变分包含 k-次增生映射 Φ-强增生算子 特征定理 

分 类 号：O177.91[理学—数学]