
Banach空间中渐近非扩张映射的广义粘性隐式双中点法则
The Generalized Viscosity Implicit Double Midpoint Rule for Asymptotically Non-expansive Mappings in Banach Spaces
本文给出了实Banach空间中,渐近非扩张映射不动点的广义隐式双中点法则的粘性方法.在适当的参数条件下,证明了该算法生成的序列的强收敛定理.本文的结果推广和改进了其他作者的主要结果.
We study viscosity method for the general implicit double midpoint rule for finding the fixed points of asymptotically non-expansive mappings in real Banach spaces. Under suitable conditions imposed on the parameters, some strong convergence theorems of the sequence generated by the algorithm are proved. The results presented in this article extend and improve the main results of other authors.
Banach空间 / 渐近非扩张映射 / 广义粘性隐式双中点法则 / 强收敛 {{custom_keyword}} /
Banach space / asymptotically non-expansive mapping / generalized viscosity implicit double midpoint rule / strong convergence {{custom_keyword}} /
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国家自然科学基金资助项目(11671365);浙江省自然科学基金资助项目(Y6100696)
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