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Strong Convergence and Certain Control Conditions for Modified Ishikawa Type Iteration

关于修正Ishikawa型迭代的强收敛和一定的控制条件(英文)
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摘要 In this paper, we establish the strong convergent theorems of an iterative algorithm for asymptotically nonexpansive mappings in Banach spaces and nonexpansive mappings in uniformly smooth Banach spaces, respectively. The results presented in this paper not only give an affirmative partial answer to Reich's open question, but also generalize and improve the corresponding results of Chang, Lee and Chan [7] and Kim and Xu [10] .
作者 王学武
机构地区 School of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第4期578-584,共7页 数学季刊(英文版)
关键词 asymptotically nonexpansive mapping iterative scheme strong convergence fixed point asymptotically nonexpansive mapping iterative scheme strong convergence fixed point
作者简介 WANG Xue-wu(1963-), male, native of Qinggang, Heilongjiang, an associate professor of Shandong Institute of Business and Technology, engages in probability limit and iterative approximation theory.
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参考文献11

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