Inertial algorithm for solving equilibrium, variational inclusion and fixed point problems for an infinite family of strict pseudocontractive mappings

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.10

M. A. Olona, T. O. Alakoya, .-E. Owolabi, O. Mewomo

引用次数: 25

Abstract

. In this paper, we study the problem of ﬁnding common solutions of equilibrium problems, variational inclusion problems and ﬁxed point problems for an inﬁnite family of strict pseudocontractive mappings. We propose an iterative algorithm, which combines inertial methods with viscosity methods, for approximating common solutions of the above problems. Under mild conditions, we prove a strong theorem in Hilbert spaces and apply our result to optimization problems. Finally, we present a numerical example to demonstrate the efﬁciency of our algorithm in comparison with other existing methods in the literature

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求解无限严格伪压缩映射族的平衡、变分包含和不动点问题的惯性算法

．本文研究了一类严格伪压缩映射无穷族的平衡问题、变分包含问题和不动点问题的公解问题。我们提出了一种结合惯性法和粘度法的迭代算法来逼近上述问题的一般解。在温和条件下，我们证明了Hilbert空间中的一个强定理，并将结果应用于最优化问题。最后，我们给出了一个数值例子来证明我们的算法与文献中其他现有方法的效率

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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.