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A Strong Convergence to a Common Fixed Point of a Subfamily of a Nonexpansive Evolution Family of Bounded Linear Operators on a Hilbert Space
Journal of Mathematics ( IF 1.4 ) Pub Date : 2021-07-23 , DOI: 10.1155/2021/2392088
Gul Rahmat, Masaud Khan, Muhammad Sarwar, Hassen Aydi, Eskandar Ameer

In this article, we establish some results for convergence in a strong sense to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space. The obtained results generalize some existing ones in the literature for semigroups of operators. An example and an open problem are also given at the end.

中文翻译:

希尔伯特空间上有界线性算子的非膨胀演化族的一个子族的公共不动点的强收敛

在本文中,我们建立了一些强收敛的结果,收敛到希尔伯特空间上的有界线性算子的非扩张演化族的一个子族的公共不动点。获得的结果推广了文献中一些现有的关于算子半群的结果。最后还给出了一个例子和一个未解决的问题。
更新日期:2021-07-23
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