一类连续伪压缩映射的公共不动点问题的类惯性算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-10-27 DOI:10.1080/01630563.2023.2267352

H. H. Gidey, H. Zegeye, O. A. Boikanyo, D. Kagiso, Y. A. Belay

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引用次数: 0

摘要

摘要在实数Hilbert空间框架下，引入一种逼近连续伪压缩映射公共不动点的类惯性算法。在一定条件下，在控制序列上证明了算法生成序列的强收敛性定理。通过数值算例验证了算法的有效性。关键词:公共不固定点连续映射希尔伯特空间惯性方法伪约合映射数学学科分类:46N1047B0247H0547H0947H1047J2547J26附加信息资金来源Belay非常感谢来自博茨瓦纳国际科技大学(BIUST)西蒙斯基金会的资金支持。

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An Inertial-Like Algorithm for Solving Common Fixed Point Problems of a Family of Continuous Pseudocontractive Mappings

AbstractIn this paper, it is our purpose to introduce an inertial-like algorithm for approximating common fixed points of continuous pseudocontractive mappings in the framework of real Hilbert spaces. We prove strong convergence theorems for the sequence generated by the algorithm under certain conditions on the control sequences. We also provide numerical examples to demonstrate the efficiency of our algorithm.Keywords: Common fixed pointcontinuous mappingHilbert spaceinertial methodpseudocontaractive mappingMATHEMATICS SUBJECT CLASSIFICATION: 46N1047B0247H0547H0947H1047J2547J26 Additional informationFundingYA Belay is grateful for the financial support from Simons Foundation based at Botswana International University of Science and Technology (BIUST).

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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