增生型算子方程x+Tx=f解的具有混合误差项的迭代程序  

Iterative Process with Mixed Errors of Sclutions for Accretive Type Operator Equations

作　　者：格日措毛[1] 银措吉[1] 

机构地区：[1]青海师范大学民族师范学院数学系,青海西宁810008

出　　处：《青海师范大学学报（自然科学版）》2006年第2期15-17,共3页Journal of Qinghai Normal University(Natural Science Edition)

摘　　要：设E是任意实Banach空间,T:E→E是Lipschitz增生算子,在没有条件limn→∞an=0之下,证明了非线性算子方程x+Tx=f解的具有混合误差项的Mann迭代程序的收敛性问题,并提供了收敛率的估计.改进和推广了一些相关结果.Let E be an arbitrary real Banach space, and T： E→, E be a Lipschitz accretive operator. Under the lack of the condition lim n→∞ an=0 an = 0, it is proved that Mann iterative approximation with mixed errors for solutions of the nonlinear equation x ＋ Tx = f, our argument provides a conlvergence rate estimate. The results presented in this paper improve and extend some recent corresponding results.

关 键 词：增生算子 强增生算子 具混合误差项的Mann迭代程序 Banach空间 

分 类 号：O177.91[理学—数学]