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Pure Mathematics 2023
中间意义上的渐近非扩张映射的公共不动点逼近算法
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Abstract:
本文的目的是介绍一可数族中间意义上的渐近非扩张映射公共不动点逼近的最新的算法。通过这种方法，松弛混合迭代算法得以利用并在Banach空间的框架下得出一个强收敛定理。相比于其他作者的方法，该方法的结果可应用性更强。该方法可以应用于深入研究均衡问题系统的一种迭代算法。
The purpose in this paper is to introduce an up-to-date method for the approximation of some common fixed point of a countable family of asymptotically quasi-？-nonexpansive mappings in the intermediate sense, by which a relaxed hybrid iterative algorithm is proposed and a strong con-vergence theorem is established in the framework of Banach spaces. The result is more applicable than those of other authors with related interest. As application, an iterative solution to a system of equilibrium problems is studied.
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