q-一致光滑Banach空间中的严格伪压缩映像

Strict Pseudo-Contractions in q-Uniformly Banach Spaces

提出一种不用投影算子的修正的Mann迭代的循环算法,用于逼近q-一致光滑的Banach空间中有限个严格伪压缩映像的公共不动点,并证明了算法的强收敛性。本结论推广了Kim等和Zhang等关于非扩张映像的相应结果。

We propose a cyclic algorithm which modify the Mann type iterations without metric projections for approximating the common fixed points of finite strict pseudo-contractions in a q-uniformly smooth Banaeh space. Strong convergence is proved. Our result extends the corresponding rusuhs announced by Kim etc and Zhang etc.