一种使用动态步长求解多输出集分裂公共不动点问题的方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-10 DOI:10.1080/01630563.2023.2278836

Huanhuan Cui

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引用次数: 0

摘要

摘要本文研究了具有多输出集的分裂公共不动点问题，并给出了有效逼近其解的新方法。我们分别在适当条件下建立了严格伪压缩映射和半压缩映射的两个收敛定理，它们作为特例覆盖了一些已有的结果。此外，数值实验表明，我们开发了一种求解多输出集分裂公共不动点问题的竞争性方法。关键词:半闭性原理半缩图分割公共不动点问题严格伪缩图数学主题分类:47J2547H0947H1047J05致谢感谢审稿人的建设性意见，这些意见大大提高了我们的工作质量。基金资助:国家自然科学基金项目(12101286,11971216)。

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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An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes

AbstractIn this paper, we investigate the split common fixed point problem with multiple output sets and develop novel approaches for effectively approximating its solution. We establish two convergence theorems under appropriate conditions for strictly pseudo-contractive mappings and demicontractive mappings, respectively, which cover some existing results as a special case. Furthermore, the numerical experiments demonstrate that we have developed a competitive method for solving the split common fixed point problem with multiple output sets.KEYWORDS: Demiclosedness principledemicontractive mapsplit common fixed point problemstrictly pseudo-contractive mapMATHEMATICS SUBJECT CLASSIFICATION: 47J2547H0947H1047J05 AcknowledgmentsWe would like to extend our appreciation to the reviewers for their constructive comments that significantly enhanced the quality of our work.Additional informationFundingThis work is supported by the National Natural Science Foundation of China (No. 12101286, 11971216).

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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.