论动态穆达菲粘度近似系统轨迹的收敛性

IF 0.9 Q2 MATHEMATICS Arabian Journal of Mathematics Pub Date : 2024-03-22 DOI:10.1007/s40065-024-00457-0

Ramzi May

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引用次数: 0

摘要

我们研究了连续动力系统（CDS）轨迹的渐近行为，该轨迹与 Moudafi（J Math Anal Appl 241:46-55, 2000）提出的非展开映射（DDS）定点问题的离散粘性逼近方法相关。我们确定连续动力系统（CDS）的轨迹 x(t) 具有与离散粘度近似（DDS）产生的序列 \((x_{n})\) 相似的渐近行为

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On the convergence of the trajectories of the dynamical Moudafi’s viscosity approximation system

We study the asymptotic behavior of trajectories of the continuous dynamical system(CDS) associated with the discrete viscosity approximation method for fixed point problem of nonexpansive mapping (DDS) which was introduced by Moudafi (J Math Anal Appl 241:46–55, 2000). We establish that the trajectories x(t) of the continuous dynamical system (CDS) has an asymptotic behavior similar to the behavior of the sequences \((x_{n})\) generated by the discrete viscosity approximation (DDS)

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.