- Title
- On computation of generalized derivatives of the normal-cone mapping and their applications
- Creator
- Gfrerer, Helmut; Outrata, Jiri
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/104265
- Identifier
- vital:11031
- Identifier
-
https://doi.org/10.1287/moor.2016.0789
- Identifier
- ISSN:0364765X
- Abstract
- The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the normal-cone mapping related to C2 inequality constraints under very weak qualification conditions. This enables us to provide the graphical derivative and the regular coderivative of the solution map to a class of parameterized generalized equations with the constraint set of the investigated type. On the basis of these results, we finally obtain a characterization of the isolated calmness property of the mentioned solution map and derive strong stationarity conditions for an MPEC with control constraints. © 2016 INFORMS.
- Publisher
- INFORMS Inst.for Operations Res.and the Management Sciences
- Relation
- Mathematics of Operations Research Vol. 41, no. 4 (2016), p. 1535-1556
- Rights
- Copyright © 2016 INFORMS
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics; Graphical Derivative; Mathematical Program With Equilibrium Constraints; Parameterized Generalized Equation; Regular Coderivative; Constraint theory; Mapping; Control constraint; Generalized derivatives; Generalized Equations; Inequality constraint; Qualification conditions; Strong stationarity; C (programming language)
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