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Mann Iteration of Weak Convergence Theorems in Banach Space 被引量:1

Mann Iteration of Weak Convergence Theorems in Banach Space
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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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2009年第2期217-224,共8页 应用数学学报(英文版)
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).
关键词 k-strictly pseudocontractive mappings Mann iteration fixed point p-uniformly convex weak convergence k-strictly pseudocontractive mappings Mann iteration fixed point p-uniformly convex weak convergence
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