非膨胀映射的平衡问题和不动点问题系统的广义修正的逼近解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-27 DOI:10.1080/00207160.2023.2217303

Kanyanee Saechou, A. Kangtunyakarn

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引用次数: 0

摘要

本研究的目的是研究平衡系统问题的广义修正，并建立一个引理来证明该问题的性质。然后，在适当的条件下，证明了不动点问题的解集和GMSEP的解集的一个公元素的强收敛性定理，其中，为主迭代中的系数。此外，我们还证明了广义平衡问题、平衡系统问题、变分不等式问题、变分不等式一般系统问题和最小化问题解的强收敛性定理。最后给出了两个数值例子，其中一个例子显示了主迭代的收敛速度，另一个例子显示了主迭代的收敛速度，但系数和等于1。

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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Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping

The purpose of this research is to study the generalized modification of the system of equilibrium problems (GMSEP) and a lemma is established to show the property of this problem. Then, we prove a strong convergence theorem for finding a common element of the set of the solutions of the fixed points problem and the set of the solutions of the GMSEP under some suitable conditions, in which , where are coefficients in the main iteration. Moreover, we prove strong convergence theorems for finding solutions to the generalized equilibrium problem, the system of equilibrium problems, the variational inequality problem, the general system of variational inequality problems, and the minimization problem. Finally, we give two numerical examples, one of which shows the rate of convergence of the main iteration while the other shows the rate of convergence of the main iteration but the sum of coefficients equals 1.

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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.