中间意义上的渐近非扩张映射的公共不动点逼近算法
Common Fixed Points Approximation Algorithm for Asymptotically Quasi-?-Nonexpansive Mappings in the Intermediate Sense
DOI: 10.12677/PM.2023.1311344, PDF,    科研立项经费支持
作者: 罗秋瑾*, 邓伟奇#：云南财经大学统计与数学学院，云南 昆明
关键词: 公共不动点；渐近非扩张映射；均衡问题系统；Common Fixed Points； Asymptotically Quasi-?-Nonexpansive Mappings； System of Equilibrium Problems
摘要: 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。
Abstract: 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-ϕ-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.
文章引用：罗秋瑾, 邓伟奇. 中间意义上的渐近非扩张映射的公共不动点逼近算法[J]. 理论数学, 2023, 13(11): 3316-3324. https://doi.org/10.12677/PM.2023.1311344

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