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Quantitative Characterizations of Regularity Properties of Collections of Sets

Alexander Y. Kruger (a.kruger***at***ballarat.edu.au)
Nguyen H. Thao (nhthao***at***ctu.edu.vn)

Abstract: Several primal and dual 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.

Keywords: Collections of sets; Regularity; Metric regularity; Normal cone; Subdifferential

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2015) 164:41–67

Download: [PDF]

Entry Submitted: 09/27/2013
Entry Accepted: 09/27/2013
Entry Last Modified: 01/17/2015

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