摘要
In this paper, by using Mann's iteration process we will establish several weak convergence theorems for approximating a fixed point of k-strictly pseudocontractive mappings with respect to p in p-uniformly convex Banach spaces. Our results answer partially the open question proposed by Marino and Xu, and extend Reich's theorem from nonexpansive mappings to k-strict pseudocontractive mappings.
In this paper, by using Mann's iteration process we will establish several weak convergence theorems for approximating a fixed point of k-strictly pseudocontractive mappings with respect to p in p-uniformly convex Banach spaces. Our results answer partially the open question proposed by Marino and Xu, and extend Reich's theorem from nonexpansive mappings to k-strict pseudocontractive mappings.
基金
Supported by National Science Foundation of China(60872095)
Natural Science Foundation of Zhejiang Province(Y606093)
K.C.Wong Magna Fund in Ningbo University and Ningbo Natural Science Foundation(2008A610018).