Banach空间中广义拟变分包含解的存在与逼近  

Existence and approximation of solutions to generalized quasi-variational inclusions in Banach space

作　　者：倪仁兴[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《浙江大学学报（理学版）》2007年第1期1-6,11,共7页Journal of Zhejiang University（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(102002)

摘　　要：研究了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存在惟一性与逼近问题,给出了一新的迭代算法和具混合误差的Ishikawa迭代序列强收敛到变分包含解的充要条件,所得的结果改进和推广了近期许多相关结果.The purpose is to investigate the existence, uniqueness and approximation problem of solutions to a class of generalized quasi variational inclusions inclusing k-subaccretive mapping and φ-strongly accretive mapping without compactness conditions is obtained. The necessary and sufficient conditions that the Ishikawa iterative sequences with mixed errors convergence strongly to solutions of quasi-variational inclusions are given, These results improve and generalize many recent corresponding results.

关 键 词：广义拟变分包含 k-次增生映射 矿强增生算子 具混合误差的Ishikawa迭代序列 充要条件 

分 类 号：O177.91[理学—数学]