Convergence theorems by a new iteration process for a finite family of nonself asymptotically nonexpansive mappings with errors in Banach spaces

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• 作者：Hukmi Kiziltunc^a ; ^{hukmu@atauni.edu.tr"" rel=""nofollow} ; Seyit Temir^b ; ^{temirseyit@harran.edu.tr"" rel=""nofollow}
• 关键词：Nonself asymptotically nonexpansive mapping ; Finite step iterative sequences with mean errors ; Completely continuous mappings ; Common fixed point ; Uniformly convex Banach space
• 刊名：Computers and Mathematics with Applications
• 出版年：2011
• 出版时间：May 2011
• 年：2011
• 卷：61
• 期：9
• 页码：2480-2489
• 全文大小：262 K

文摘

In this paper, we study a new iteration process for a finite family of nonself asymptotically nonexpansive mappings with errors in Banach spaces. We prove some weak and strong convergence theorems for this new iteration process. The results of this paper improve and extend the corresponding results of Chidume et al. (2003) [10], Osilike and Aniagbosor (2000) [3], Schu (1991) [4], Takahashi and Kim (1998) [9], Tian et al. (2007) [18], Wang (2006) [11], Yang (2007) [17] and others.