【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.更多还原

【Abstract】 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∞α_n=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.更多还原