Inertial method for split null point problems with pseudomonotone variational inequality problems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2021037

C. C. Okeke, A. Bello, L. Jolaoso, Kingsley Chimuanya Ukandu

引用次数: 4

Abstract

This paper analyzed the new extragradient type algorithm with inertial extrapolation step for solving self adaptive split null point problem and pseudomonotone variational inequality in real Hilbert space. Furthermore, in this study, a strong convergence result is obtained without assuming Lipschitz continuity of the associated mapping and the operator norm is self adaptive. Additionally, the proposed algorithm only uses one projections onto the feasible set in each iteration. More so, the strong convergence results are obtained under some relaxed conditions on the initial factor and the iterative parameters. Numerical results are presented to illustrate the performance of the proposed algorithm.The results obtained in this study improved and extended related studies in the literature.

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带伪单调变分不等式的分裂零点问题的惯性方法

分析了一种新的具有惯性外推步长的外推型算法，用于求解实数Hilbert空间中的自适应分裂零点问题和伪单调变分不等式。此外，本文在不假设关联映射的Lipschitz连续性和算子范数自适应的情况下，得到了较强的收敛结果。此外，该算法在每次迭代中只使用一个在可行集上的投影。在初始因子和迭代参数松弛的条件下，得到了较强的收敛结果。数值结果说明了所提算法的性能。本研究的结果完善和扩展了文献中的相关研究。

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.