非自渐近非扩张映射无穷族公共不动点的一种新的迭代方法

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917270

Wei-Qi Deng, Jing-Xin Na

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引用次数: 0

摘要

本文主要研究了由实一致凸Banach空间的非空闭凸子集构成的非自渐近非扩张映射无穷族的公共不动点到整个空间的收敛定理。通过选择映射索引的特定方法，我们提出了一种逼近可数族公共不动点的最优迭代方法。在适当的条件下，得到了映射的一个强收敛定理。结果推广了这类映射有限族的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A new iteration method for common fixed points of an infinite family of nonself asymptotically nonexpansive mappings

In this paper, we mainly study the convergence theorem for common ﬁxed points of an inﬁnte family of nonself asymptotically nonexpansive mappings form a nonempty closed convex subset of a real uniformly convex Banach space to the whole space. By using a speciﬁc way of choosing the indexes of the involved mappings, we propose an optimum iterative approach to approximating common ﬁxed points of countable families. Under some suitable conditons, a strong convergence theorem of the mappings is obtained. The result extends the situation of ﬁnite families of such mappings.

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.