严格伪压缩映象的不动点逼近及收敛速率估计

On the Approximation Problem for Fixed Points of Strictly Pseudocontractive Mappings and Convergence Rate Estimate

在Banach空间中证明了Ishikawa迭代序列强收敛到任意闭凸集上严格伪压缩映象的不动点,并得到更为精确的收敛速率估计。本文结果发展和改进了引文[1,2]的相关结果。

It proves in a Banach space that Ishikawa iterative sequence strongly converges at the fixed point of strictly pseudocontractive mappings on arbitrary closed, convex sets. The argument provides more accurate convergence rate estimate. The results in this paper develop and improve the corresponding results of papers[l,2] .