文献类型：期刊文献

中文题名：Banach空间中广义拟变分包含解的存在与逼近

英文题名：Existence and approximation of solutions to generalized quasi-variational inclusions in Banach space

作者：倪仁兴[1]

机构：[1]绍兴文理学院数学系

年份：2007

卷号：34

期号：1

起止页码：1

中文期刊名：浙江大学学报：理学版

收录：CSTPCD、、北大核心2004、Scopus、CSCD2011_2012、北大核心、CSCD

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)

语种：中文

中文关键词：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

外文关键词：generalized quasi-variational inclusion k-subaccretive mapping φ-strongly accretive mapping Ishikawa iterative sequences with mixed errors necessary and sufficient conditions

中文摘要：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.

外文摘要：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.