Numerical reckoning fixed points via new faster iteration process

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-04-01 DOI:10.4995/agt.2022.11902

K. Ullah, Junaid Ahmad, F. M. Khan

引用次数: 3

Abstract

In this paper, we propose a new iteration process which is faster than the leading S [J. Nonlinear Convex Anal. 8, no. 1 (2007), 61-79], Thakur et al. [App. Math. Comp. 275 (2016), 147-155] and M [Filomat 32, no. 1 (2018), 187-196] iterations for numerical reckoning fixed points. Using new iteration process, some fixed point convergence results for generalized α-nonexpansive mappings in the setting of uniformly convex Banach spaces are proved. At the end of paper, we offer a numerical example to compare the rate of convergence of the proposed iteration process with the leading iteration processes.

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数值推算定点采用新的更快的迭代过程

在本文中，我们提出了一种新的迭代过程，它比领先的S [J]。非线性凸肛门。8,no。[j] .应用数学，2007,61-79。Comp. 275(2016)， 147-155]和M [Filomat 32, no. 5]。数值推算不动点的迭代[j] . 1(2018)， 187-196。利用新的迭代过程，证明了一致凸Banach空间上广义α-非扩张映射的不动点收敛性。最后给出了一个数值算例，比较了所提迭代过程与超前迭代过程的收敛速度。

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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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.