公次正则性和 $$\omega (\cdot )$$ - 正则性属性

IF 1.6 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Optimization Theory and Applications 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

摘要

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。

查看原文本刊更多论文

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

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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来源期刊

Journal of Optimization Theory and Applications 数学-应用数学

CiteScore

3.30

自引率

5.30%

发文量

149

审稿时长

9.9 months

期刊介绍： The Journal of Optimization Theory and Applications is devoted to the publication of carefully selected regular papers, invited papers, survey papers, technical notes, book notices, and forums that cover mathematical optimization techniques and their applications to science and engineering. Typical theoretical areas include linear, nonlinear, mathematical, and dynamic programming. Among the areas of application covered are mathematical economics, mathematical physics and biology, and aerospace, chemical, civil, electrical, and mechanical engineering.