
非扩张映射具有误差修改Ishikawa迭代算法的强收敛
Strong Convergence Theorems of a Modified Ishikawa Iterative Algorithm with Errors for Nonexpansive Mappings
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.
非扩张映射 / 强收敛 / 修改的Ishikawa迭代 / Banach空间 {{custom_keyword}} /
nonexpansive mapping / strong convergence / modified Ishikawa iteration / Banach spaces {{custom_keyword}} /
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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)
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