On the Aubin property of a class of parameterized variational systems

The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition require...

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Vydáno v:Mathematical methods of operations research (Heidelberg, Germany) Ročník 86; číslo 3; s. 443 - 467
Hlavní autoři: Gfrerer, H., Outrata, J. V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017
Springer Nature B.V
Témata:
Business and Management
Calculus
Calculus of Variations and Optimal Control; Optimization
Constraining
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations research
Operations Research/Decision Theory
Original Article
Parameterization
90C31
49J53
90C46
Solution map
Aubin property
Graphical derivative
Directional limiting coderivative
ISSN:1432-2994, 1432-5217
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Shrnutí:The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions. The respective formulas have the form of a second-order chain rule and extend the available calculus of directional limiting objects. The suggested procedure is illustrated by means of examples.
Bibliografie:ObjectType-Article-1
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ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-017-0596-y