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修正混合的Halpern三步迭代序列强收敛性 被引量:1
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作者 杨柳 王元恒 《南阳师范学院学报》 CAS 2010年第6期1-4,共4页
在一致光滑的Banach空间中,引进了一种新的关于非扩张算子T的修正混合Halpern三步迭代序列,并证明了在一定条件下该迭代序列强收敛于T的不动点.所得结果改进和推广了近年来其他一些相关的近似结果.
关键词 Halpern迭代序列 强收敛性 非扩张映像 一致光滑BANACH空间
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Weak and Strong Convergence for Fixed Points of Asymptotically Non-expansive Mappings
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作者 Ze Qing LIU Shin Min KANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第6期1009-1018,共10页
A few weak and strong convergence theorems of the modified three-step iterative sequence with errors and the modified Ishikawa iterative sequence with errors for asymptotically non-expansive mappings in any non-empty ... A few weak and strong convergence theorems of the modified three-step iterative sequence with errors and the modified Ishikawa iterative sequence with errors for asymptotically non-expansive mappings in any non-empty closed convex subsets of uniformly convex Banach spaces are established. The results presented in this paper substantially extend the results due to Chang (2001), Osilike and Aniagbosor (2000), Rhoades (1994) and Schu (1991). 展开更多
关键词 Asymptotically non-expansive mapping Fixed point modified three-step iterative sequence with errors modified Ishikawa iterative sequence with errors Uniformly convex Banach space Opial’s condition Weak convergence strong convergence
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