一类含(A,η)-增生算子的广义混合拟-似变分包含组的p步迭代算法  

The p-step Iterative Algorithm for a New System of Generalized Quasi-like Variational Inclusions Involving(A,η)-Accretive Operator

作　　者：邱洋青[1] 谢传根[1] 

机构地区：[1]江西理工大学应用科学学院,江西赣州341000

出　　处：《江西理工大学学报》2010年第2期37-40,共4页Journal of Jiangxi University of Science and Technology

摘　　要：研究了实q-一致光滑Banach空间中一类新的含(A,η)-增生算子的广义混合拟-似变分包含组,利用(A,η)-增生算子的预解算子技巧,证明了解的存在性及由新的P步迭代算法所生成序列的收敛性.所得的结果是相关问题的最新结果,是近期众多结果的统一、改进和推广.A new system of generalized quasi-like variational inclusions involving （A,η）- accretive operator is introduced and studied by using the resolvent operator technique of （A,η）- accretive operator in this article. The existences of solutions and the convergences of sequences produced by the p- step iterative algorithms are proved in real q-uniform smooth Banach space. The results are the newest inclusions of relative problem as well as the unity, improvement and generalization to many known results.

关 键 词：变分包含组 (A η)-增生算子 预解算子 迭代算法 收敛性 

分 类 号：O177.91[理学—数学]