Generalized Differentiation of a Class of Normal Cone Operators

Nguyen Thanh Qui ()
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Nguyen Thanh Qui: Can Tho University

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 2, No 4, 398-429

Abstract: Abstract This paper investigates generalized differentiation of normal cone operators to parametric smooth-boundary sets in Asplund spaces. We obtain formulas for computing the Fréchet and Mordukhovich coderivatives of such normal cone operators. We also give several examples to illustrate how the formulas can be used in practical calculations and applications.

Keywords: Variational inequality; Generalized equation; Smooth-boundary constraint set; Normal cone operator; Coderivative; Lipschitz-like property; Metric regularity (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-013-0427-0

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