拟压缩映象的Mann迭代序列的强逼近

Strong Approximation of Mann Iterative Prosess for Quasi-contrative Mapping

在一致凸和一致光滑的Banach空间上引入拟压缩映象,建立并证明了具误差的Mann迭代序列和具误差的Mann隐示迭代序列强逼近定理,其结果改进和推广了目前的相关结果.

Firstly, we introduce quasi-contractive mapping in uniformly convex Banach space and uniformly smooth Banach space and then we establish and prove strongly approximation theorems of Mann iterative sequence and Mann implicite iterative sequence with error for quasi- contractive mapping. The results presented in this paper extend and improve the corresponding results.