New iterative schemes for asymptotically quasi-nonexpansive nonself-mappings in Banach spaces

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• 作者：Chao Wang ; Jinghao Zhu ; Lili An
• 关键词：New iterative schemes with errors ; Asymptotically quasi-nonexpansive nonself-mappings ; Banach spaces ; Uniformly convex Banach spaces
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2010
• 出版时间：1 April 2010
• 年：2010
• 卷：233
• 期：11
• 页码：2948-2955
• 全文大小：519 K

文摘

In this paper, a new two-step iterative scheme with errors is introduced for two asymptotically quasi-nonexpansive nonself-mappings. Several convergence theorems are established in real Banach spaces and real uniformly convex Banach spaces. Our theorems improve and extend the results due to Thianwan [S. Thianwan, Common fixed point of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space, J. Comput. Appl. Math. 224 (2009) 685–695] and many other papers.