Generalized Differentiation of a Class of Normal Cone Operators

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 c...

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Vydáno v:Journal of optimization theory and applications Ročník 161; číslo 2; s. 398 - 429
Hlavní autor: Qui, Nguyen Thanh
Médium: Journal Article
Jazyk:angličtina
Vydáno: Boston Springer US 01.05.2014
Springer Nature B.V
Témata:
Applications of Mathematics
Banach spaces
Calculus of Variations and Optimal Control; Optimization
Computation
Control theory
Differentiation
Engineering
Inequality
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Operators
Optimization
Studies
Theory of Computation
Lipschitz-like property
Variational inequality
Generalized equation
Coderivative
Normal cone operator
Metric regularity
Smooth-boundary constraint set
ISSN:0022-3239, 1573-2878
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Shrnutí: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.
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ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-013-0427-0