- Title
- On the Aubin property of a class of parameterized variational systems
- Creator
- Gfrerer, Helmut; Outrata, Jiri
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132
- Identifier
- vital:13000
- Identifier
-
https://doi.org/10.1007/s00186-017-0596-y
- Identifier
- ISBN:1432-2994
- Abstract
- 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. © 2017, Springer-Verlag GmbH Germany.
- Publisher
- Springer Verlag
- Relation
- Mathematical Methods of Operations Research Vol. 86, no. 3 (2017), p. 443-467; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright © 2017, Springer-Verlag GmbH Germany.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics; Aubin property; Directional limiting coderivative; Graphical derivative; Solution map
- Full Text
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