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 for solutions of the accretive type operator equations x + Tx = f

设E是任意实Banach空间,T:E→E是Lipschitz增生算子,在没有条件limαn=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,该文的结果改进和推广了近期的一些相关结果。

Let E be an arbitrary real Banach space, and T: E→E be a Lipschitz accretive operator. Under the lack of the condition lim 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 convergence rate estimate. The results presented in this paper improve and extend some recent corresponding results.