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

作　　者：王学武[1] 于永胜[1] 

机构地区：[1]山东工商学院数学与信息科学学院,烟台264005

出　　处：《数学的实践与认识》2009年第8期201-206,共6页Mathematics in Practice and Theory

摘　　要：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.

关 键 词：拟压缩映象 MANN迭代序列 一致凸BANACH空间 一致光滑BANACH空间 强逼近 

分 类 号：O177.91[理学—数学] O189.2[理学—基础数学]