Banach空间中有限族渐近非扩张映象的修正Reich-Takahashi迭代程序的收敛性

The astringency of Reich-Takahashi Iterator

本文研究了Banach空间中有限族渐近非扩张映象的修正Reich-Takahashi迭代程序收敛到有限族渐近非扩张映象的公共不动点的充分条件,改进和扩广了已有文献的相关结果。

This paper studies the sufficient and necessary conditions under which the modified Reich -Takahashi iterator of a finite family of asymptotically nonexpansive mappings in Banach spaces converge totheir common fixed point. The results obtained in this study improve and promote those appearingin references.