Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-13 DOI:10.1186/s13660-024-03099-0

P. V. Ndlovu, L. O. Jolaoso, M. Aphane, H. A. Abass

引用次数: 0

Abstract

In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of pseudomonotone equilibrium and fixed point problem of a nonexpansive mapping in the setting of a Hadamard manifold. We prove that the sequence generated by our iterative method converges to a solution of the above problems under some mild conditions. Finally, we outline some implications of our results and present several numerical examples showing the implementability of our algorithm. The results of this article extend and complement many related results in linear spaces.

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用修正惯性法解决哈达玛流形中的平衡问题和定点问题的粘度外梯度法

在本文中，我们提出了一种粘度外梯度算法和惯性外推法，用于在哈达玛流形环境中近似求解非展开映射的伪单调平衡和定点问题。我们证明，在一些温和的条件下，我们的迭代法产生的序列会收敛到上述问题的解。最后，我们概述了我们的结果的一些意义，并给出了几个数值示例，展示了我们算法的可实施性。本文的结果扩展并补充了线性空间中的许多相关结果。

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.