Iterative approximation of common solution of variational inequality and certain optimization problems with multiple output sets in Hadamard space

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-03 DOI:10.1515/anly-2022-1075

H. Abass, O. Oyewole, Olayinka Martins Onifade, O. Narain

引用次数: 0

Abstract

Abstract In this paper, our main interest is to propose a viscosity iterative method for approximating solutions of variational inequality problems, resolvents of monotone operators and fixed points of ρ-demimetric mappings with multiple output sets in Hadamard spaces. We prove a strong convergence result for approximating the solutions of the aforementioned problems under some mild conditions. Also, we present an application of our main result to a convex minimization problem. Our results improve and generalize many related results in the literature.

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哈达玛德空间中变分不等式和具有多个输出集的某些优化问题的普通解的迭代逼近

摘要在本文中，我们的主要兴趣是提出一种粘性迭代法，用于逼近哈达玛德空间中具有多个输出集的变分不等式问题、单调算子的解析子和 ρ-度量映射的定点的解。我们证明了在一些温和条件下逼近上述问题解的强收敛性结果。此外，我们还将主要结果应用于凸最小化问题。我们的结果改进并概括了文献中的许多相关结果。

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.