About Regularity of Collections of Sets

Alexander Ya. Kruger (a.krugerballarat.edu.au)

Abstract: The paper continues investigations of stationarity and regularity properties of set systems in normed spaces started in the previous paper of the author. It contains a summary of different characterizations (both primal and dual) of regularity and a list of sufficient conditions for a set system to be regular.

Keywords: nonsmooth analysis, normal cone, optimality, extremality, stationarity, regularity, set-valued mapping, Asplund space

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: University of Ballarat, School of Information Technology and Mathematical Sciences, Research Report 2005/03. Published in Set-Valued Analysis, 14 (2006), 187-206.

Download: [PDF]

Entry Submitted: 06/03/2005
Entry Accepted: 06/08/2005
Entry Last Modified: 06/16/2006

Modify/Update this entry