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

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
{"title":"Metric Subregularity and $$\\omega (\\cdot )$$ -Normal Regularity Properties","authors":"Florent Nacry, Vo Anh Thuong Nguyen, Juliette Venel","doi":"10.1007/s10957-024-02476-5","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we establish through an openness condition the metric subregularity of a multimapping with normal <span>\\(\\omega (\\cdot )\\)</span>-regularity of either the graph or values. Various preservation results for prox-regular and subsmooth sets are also provided.\n</p>","PeriodicalId":50100,"journal":{"name":"Journal of Optimization Theory and Applications","volume":"67 1","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Optimization Theory and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10957-024-02476-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
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。
求助全文
约1分钟内获得全文 去求助
来源期刊
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.
期刊最新文献
Effects of patient education on the oral behavior of patients with temporomandibular degenerative joint disease: a prospective case series study. On Tractable Convex Relaxations of Standard Quadratic Optimization Problems under Sparsity Constraints. Simultaneous Diagonalization Under Weak Regularity and a Characterization Seeking Consensus on Subspaces in Federated Principal Component Analysis A Multilevel Method for Self-Concordant Minimization
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1