- Title
- Some remarks on stability of generalized equations
- Creator
- Henrion, René; Kruger, Alexander; Outrata, Jiri
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/67415
- Identifier
- vital:4744
- Identifier
-
https://doi.org/10.1007/s10957-012-0147-x
- Identifier
- ISSN:0022-3239
- Abstract
- The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C 2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian-Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided. © 2012 Springer Science+Business Media, LLC.
- Relation
- Journal of Optimization Theory and Applications Vol. 159, no. 3 (2012), p. 681-697; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright 2012 Springer Science+Business Media, LLC
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Constant rank CQ; Mathematical program with equilibrium constraints; Parameterized generalized equation; Regular and limiting coderivative
- Full Text
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