- Title
- On relaxing the Mangasarian-Fromovitz constraint qualification
- Creator
- Kruger, Alexander; Minchenko, Leonld; Outrata, Jiri
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/155269
- Identifier
- vital:11269
- Identifier
-
https://doi.org/10.1007/s11117-013-0238-4
- Identifier
- ISSN:1385-1292
- Abstract
- For the classical nonlinear program, two new relaxations of the Mangasarian– Fromovitz constraint qualification are discussed and their relationship with some standard constraint qualifications is examined. In particular, we establish the equivalence of one of these constraint qualifications with the recently suggested by Andreani et al. Constant rank of the subspace component constraint qualification. As an application, we make use of this new constraint qualification in the local analysis of the solution map to a parameterized equilibrium problem, modeled by a generalized equation.
- Publisher
- Springer
- Relation
- Positivity Vol. 18, no. 1 (2014), p. 171-189; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © Springer Basel 2013
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Constant rank constraint qualification; Constraint qualifications; Lagrange multipliers; Mangasarian-Fromovitz constraint qualification; Nonlinear programming; Regularity conditions; 0101 Pure Mathematics; 0102 Applied Mathematics
- Full Text
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