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On strong second-order necessary optimality conditions under relaxed constant rank constraint qualification.
- Source :
-
Optimization . Jun2024, Vol. 73 Issue 6, p1993-2005. 13p. - Publication Year :
- 2024
-
Abstract
- We discuss the (first- and second-order) optimality conditions for nonlinear programming under the relaxed constant rank constraint qualification (RCRCQ). Although the optimality conditions are well established in the literature, the proofs presented here are based solely on the well-known inverse function theorem. This is the only prerequisite from real analysis used to establish two auxiliary results needed to prove the optimality conditions. To be precise, we provide a simple and alternative proof that RCRCQ is a constraint qualification that implies strong second-order optimality conditions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR programming
*INVERSE functions
*BILEVEL programming
Subjects
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 73
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 177242349
- Full Text :
- https://doi.org/10.1080/02331934.2023.2187257