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非扩张映射具有误差修改Ishikawa迭代算法的强收敛 被引量:2

Strong Convergence Theorems of a Modified Ishikawa Iterative Algorithm with Errors for Nonexpansive Mappings
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摘要 在自反的Banach空间中,通过引进一个新的具有误差修改的Ishikawa迭代算法,在适当条件下,得到了关于一族非扩张映射公共不动点的强收敛定理,所获结果推广和改进了一些已知结论,最后给出了一个例子说明结果的应用. Under some suitable conditions, we introduce a new modified Ishikawa iterative algorithm with errors for converging strongly to a common element of the set of common fixed points of infinite family of nonexpansive mappings in a reflexive Banach space. The results presented here improve and generalize some known results and an example is given to demonstrate the application of our main results.
作者 刘春 刘立山
出处 《数学学报(中文版)》 CSCD 北大核心 2016年第4期545-560,共16页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(11371221) 高等学校博士学科点专项科研基金(20123705110001)
关键词 非扩张映射 强收敛 修改的Ishikawa迭代 BANACH空间 nonexpansive mapping strong convergence modified Ishikawa iteration Banach spaces
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