- Title
- On stability of M-stationary points in MPCCs
- Creator
- Červinka, Michal; Outrata, Jiri; Pištěk, M
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/77126
- Identifier
- vital:7660
- Identifier
-
https://doi.org/10.1007/s11228-014-0278-3
- Identifier
- ISSN:1877-0533
- Abstract
- We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of solutions to the respective M-stationarity conditions. In particular, we provide characterizations and criteria for the isolated calmness and the Aubin properties of the stationarity map. To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting coderivative in the case of the normal cone mapping to ℝn Funding ARC- Australian Research Council
- Relation
- Set-Valued and Variational Analysis Vol. 22, no. 3 (2014), p. 575-595; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- © 2014 Springer Science+Business Media Dordrecht.
- Rights
- This metadata is freely available under a CCO license
- Subject
- Aubin property; Isolated calmness; M-stationarity; Parameterized mathematical programs with complementarity constraints; Sensitivity analysis; 0101 Pure Mathematics
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