A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/NACO.2021011

G. Ogwo, C. Izuchukwu, O. Mewomo

引用次数: 17

Abstract

In this paper, we introduce and study a modified extragradient algorithm for approximating solutions of a certain class of split pseudo-monotone variational inequality problem in real Hilbert spaces. Using our proposed algorithm, we established a strong convergent result for approximating solutions of the aforementioned problem. Our strong convergent result is obtained without prior knowledge of the Lipschitz constant of the pseudo-monotone operator used in this paper, and with minimized number of projections per iteration compared to other results on split variational inequality problem in the literature. Furthermore, numerical examples are given to show the performance and advantage of our method as well as comparing it with related methods in the literature.

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一类分裂伪单调变分不等式问题的改进外聚算法

本文介绍并研究了实数Hilbert空间中一类分裂伪单调变分不等式问题的一种改进的渐近算法。利用我们提出的算法，我们建立了一个强收敛的结果来逼近上述问题的解。本文的强收敛性结果是在不事先知道本文所用伪单调算子的Lipschitz常数的情况下得到的，并且与文献中关于分裂变分不等式问题的其他结果相比，每次迭代的投影次数最少。最后通过数值算例说明了该方法的性能和优点，并与文献中的相关方法进行了比较。

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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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.