Quantitative Characterizations of Regularity Properties of Collections of Sets

Kruger Alexander Y.; Thao Nguyen H.

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Quantitative Characterizations of Regularity Properties of Collections of Sets

机译：集集合的正则性的定量表征

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摘要

Several primal and dual quantitative characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of collections of sets and those of set-valued mappings are provided.

机译：讨论了赋范线性空间中集合集合的正则性的几种主要和双重定量表征。提供了集合集合的规律性与集合值映射的规律性之间的关系。

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来源
《Journal of Optimization Theory and Applications》 |2015年第1期|共27页
作者
Kruger Alexander Y.; Thao Nguyen H.;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Collections of sets; Metric regularity; Normal cone; Subdifferential;

机译：集的集合;度量规则性;正锥;次微分;

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专利

1. Quantitative Characterizations of Regularity Properties of Collections of Sets [J] . Kruger Alexander Y., Thao Nguyen H. Journal of Optimization Theory and Applications . 2015,第1期

机译：集集合的正则性的定量表征
2. A new characterization of collections of two-point sets with the uniqueness property [J] . Manabu Shirosaki Kodai Mathematical Journal . 2007,第2期

机译：具有唯一性属性的两点集集合的新表征
3. A characterization of collections of two-point sets with the uniqueness property [J] . Okamoto T, Shirosaki M Tohoku mathematical journal . 2005,第4期

机译：具有唯一性属性的两点集集合的表征
4. About Extremality, Stationarity, and Regularity of Collections of Sets [C] . Alexander Kruger International Conference on Optimization: Techniques and Applications . 2007

机译：关于极端，有限公司和集合的集合
5. The nonexistence of shearlet-like scaling multifunctions that satisfy certain minimally desirable properties and characterizations of the reproducing properties of the integer lattice translations of a countable collection of square integrable functions [D] . Houska, Robert Timothy 2009

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6. Development and characterization of a new set of genomic microsatellite markers in rice bean (Vigna umbellata (Thunb.) Ohwi and Ohashi) and their utilization in genetic diversity analysis of collections from North East India [O] . Banshanlang Iangrai, Arunava Pattanayak, D. Evanoreen Ann Khongwir, 2011

机译：稻豆中新的一套基因组微卫星标记（Vigna umbellata（Thunb。）Ohwi和Ohashi）的开发和表征，及其在印度东北部地区收集物的遗传多样性分析中的应用
7. Quantitative Characterizations of Regularity Properties of Collections of Sets [O] . 2016

机译：集合集规则性质的定量刻画

Quantitative Characterizations of Regularity Properties of Collections of Sets

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