增生算子方程带误差的Noor三步迭代解与收敛率的估计  

NOOR THREE-STEP ITERATIVE SOLUTIONS WITH ERRORS AND CONVERGENCE RATE ESTIMATE FOR EQUATIONS INVOLVING ACCRETIVE OPERATORS

作　　者：张树义[1] 郭新琪 

机构地区：[1]渤海大学数学系,锦州121000 [2]大连市第三十七中学,大连116011

出　　处：《高等学校计算数学学报》2012年第1期69-77,共9页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1引言与预备知识设X是实Banach空间,X*是X的对偶空间,（·,·）表示X和X*的广义对偶组.正规对偶映象J:X→2X*定义为J（x）={∈X*:（x,f）=‖x‖2=‖f‖2}.Convergence and stability of Noor three-step iteration with errors for solutions to equations involving Lipschitz accretive operators are studied in ar- bitrary real Banach spaces. Furthermore, a general convergence rate estimate is given in our results, which largely extend and improve the corresponding results in some references.

关 键 词：accretive operator Noor three-step iterative sequence with error convergence rate estimate 

分 类 号：O177.91[理学—数学]