Metric Subregularity and $$\omega (\cdot )$$ -Normal Regularity Properties

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-04 DOI:10.1007/s10957-024-02476-5

Florent Nacry, Vo Anh Thuong Nguyen, Juliette Venel

引用次数: 0

Abstract

In this paper, we establish through an openness condition the metric subregularity of a multimapping with normal $\omega (\cdot )$-regularity of either the graph or values. Various preservation results for prox-regular and subsmooth sets are also provided.

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公次正则性和 $$\omega (\cdot )$$ - 正则性属性

在本文中，我们通过一个开放性条件建立了一个多映射的度量次规则性，这个多映射的图或值都具有法线（\omega (\cdot )\）规则性。本文还提供了近规则集和次光滑集的各种保存结果。

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.