Quantitative Characterizations of Regularity Properties of Collections of Sets

Alexander Y. Kruger () and Nguyen H. Thao ()
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Alexander Y. Kruger: Federation University Australia
Nguyen H. Thao: Federation University Australia

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 1, No 2, 67 pages

Abstract: Abstract 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.

Keywords: Collections of sets; Metric regularity; Normal cone; Subdifferential; 49J53; 49K27; 58E30 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-014-0556-0

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