一类新的含(A,η)-增生算子的广义混合拟-似变分包含组  

A New System of Generalized Quasi-like Variational Inclusions Involving(A,η)-Accretive Operator

作　　者：邱洋青[1] 刘理蔚[2] 兰丽英[1] 

机构地区：[1]江西理工大学应用科学学院,赣州341000 [2]南昌大学理学院数学系,南昌330031

出　　处：《应用泛函分析学报》2011年第4期375-382,共8页Acta Analysis Functionalis Applicata

基　　金：江西理工大学科研基金项目计划(jxxj10140)

摘　　要：介绍和研究了实q-一致光滑Banach空间中一类新的具(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.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. And 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.

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]