【摘要】 设X是任意实Banach空间,T:XX是Lipschitz连续的增生算子.在没有假设∑∞n=0αnβn<∞之下,证明了带误差的Ishikawa迭代序列强收敛到方程x+Tx=f的唯一解,而且还给出了该序列更为一般的收敛率估计.更多还原

【Abstract】 Let X be an arbitrary real Banach space and T: XX be a Lipschitz continuous accretive operator. Under the lack of the assumption that ∑∞n=0α_nβ_n<∞, it is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation x+Tx=f.更多还原