一类混合变分不等式解集的性质

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-21 DOI:10.1080/01630563.2022.2135102

Yang Xu, Zhenghai Huang

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引用次数: 0

摘要

摘要本文研究实欧氏空间的非空闭凸子集上的一类混合变分不等式。其中一个映射是下半连续映射，另一个是弱齐次映射。在讨论了问题的解集（如果它是非空的）的有界性之后，我们重点讨论了解集的非空性和紧性。建立了关于该问题解集的非空性和紧致性的两个新结果，并用实例将其与文献中的结果进行了比较。可以看出，新的结果改进了一些已知的相关结果。

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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Properties of the Solution Set of a Class of Mixed Variational Inqualities

Abstract In this paper, we investigate a class of mixed variational inequalities on nonempty closed convex subsets of real Euclidean spaces. One of the mappings involved is lower semicontinuous and the other is weakly homogeneous. After discussing the boundedness for the solution set (if it is nonempty) of the problem, we focus on the nonemptiness and compactness of the solution set. Two new results on the nonemptiness and compactness of the solution set of the problem are established, and some examples are used to compare the results with those in the literature. It can be seen that new results improve some known related results.

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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.