拟压缩映射的分裂变分包含问题和不动点问题的一般迭代算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.23952/jnfa.2022.13

Jong Soo, Jung

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引用次数: 3

摘要

．本文介绍了一种基于混合最陡下降法的求分裂变分包含问题解集和连续伪压缩映射不动点集的公共元素的一般迭代算法。在Hilbert空间中证明了所提迭代算法的强收敛性。我们也找到了两个集合的公共集合中的最小范数元素。

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 general iterative algorithm for split variational inclusion problems and fixed point problems of a pseudocontractive mapping

. In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for ﬁnding a common element of the solution set of split variational inclusion problems and the ﬁxed point set of a continuous pseudocontractive mapping. We establish strong convergence of the proposed iterative algorithm in a Hilbert space. We also ﬁnd the minimum-norm element in the common set of two sets.

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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.