About [q]-regularity properties of collections of sets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:416

Article

Kruger, Alexander Y.¹  Thao, Nguyen H.¹ 

[1] Federat Univ Australia, Sch Sci Informat Technol & Engn, Ctr Informat & Appl Optimisat, Ballarat, Vic 3350, Australia

关键词: Metric regularity;    Uniform regularity;    Normal cone;    Subdifferential;   

DOI  :  10.1016/j.jmaa.2014.02.028

来源: Elsevier

【 摘 要 】

We examine three primal space local Holder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantitative characterizations. Equivalent metric characterizations of the three mentioned regularity properties as well as a sufficient condition of [q]-subregularity in terms of Frechet normals are established. The relationships between [q]-regularity properties of collections of sets and the corresponding regularity properties of set-valued mappings are discussed. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free