Optimization Online


About [q]-regularity properties of collections of sets

Alexander Y. Kruger (a.kruger***at***ballarat.edu.au)
Nguyen H. Thao (hieuthaonguyen***at***students.ballarat.edu.au)

Abstract: We examine three primal space local Hoelder 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.

Keywords: Metric regularity; Uniform regularity; Normal cone; Subdifferential

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: Journal of Mathematical Analysis and Applications. http://dx.doi.org/10.1016/j.jmaa.2014.02.028

Download: [PDF]

Entry Submitted: 10/21/2013
Entry Accepted: 10/21/2013
Entry Last Modified: 03/31/2014

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society