非扩张映像的强收敛性

A Strong Convergence Theorem for Nonexpansive Mapping

本文中,我们将在一致光滑的Banach空间中引入一种新的迭代格式,并用新的方法证明序列在一致光滑Banach空间中的强收敛性,此结果推广了H.K.Xu[A Strong Convergence Theorem for Nonexpansive Mappings,J.Math.Anal.Appl.(2007),doi:10.1016/j.jmaa.2007.03.078,n]的结果.

In this paper,we will introduce a new iteration in a uniformly smooth Banach space,and prove the strong convergence by a new methods,and prove the strong convergence in a uniformly smooth Banach space,extend H.K.Xu [A Strong Convergence Theorem for Nonexpansive Mappings,J.Math.Anal.Appl.（2007）,doi：10.1016/j.jmaa.2007.03.078,n].