摘要
本文着眼于渐进准非扩张算子的具有误差的Ishikawa迭代序列: x_(n+1)=(1-α_n)x_n+α_nT^ny_n+u_n y_n=(1-β_n)x_n+β_nT^nx_n+v_n (n∈N)(α_n,β_n∈[0,1]),的收敛性的研究,获得了其收敛于不动点的一个充分必要条件。
This paper researched Ishikawa iterative process with errors of Asymptotically quasi-nonexpansive mappings. The author obtained a sufficent and necessary condition for a such iterative process to converge strongly to a fixed point of the Mappings.