- Title
- Tilt stability in nonlinear programming under mangasarian-fromovitz constraint qualification
- Creator
- Mordukhovich, Boris; Outrata, Jiri
- Date
- 2013
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/35746
- Identifier
- vital:5162
- Identifier
- http://dml.cz/bitstream/handle/10338.dmlcz/143358/Kybernetika_49-2013-3_6.pdf
- Identifier
- ISSN:0023-5954
- Abstract
- The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian-Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization. Involving further the well-known Constant Rank Constraint Qualification, we derive new necessary and sufficient conditions for tilt-stable local minimizers.
- Relation
- Kybernetika Vol. 49, no. 3 (2013), p. 446-464; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- © 2010 Institute of Mathematics ASCR
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0104 Statistics; Generalized differentiation; Second-order theory; Tilt stability; Variational analysis
- Reviewed
- Hits: 618
- Visitors: 583
- Downloads: 1
| Thumbnail | File | Description | Size | Format |
|---|