Back to Search
Start Over
Optimality conditions for nonconvex problems over nearly convex feasible sets.
- Source :
- Arabian Journal of Mathematics; Aug2021, Vol. 10 Issue 2, p395-408, 14p
- Publication Year :
- 2021
-
Abstract
- In this paper, we study the optimization problem (P) of minimizing a convex function over a constraint set with nonconvex constraint functions. We do this by given new characterizations of Robinson's constraint qualification, which reduces to the combination of generalized Slater's condition and generalized sharpened nondegeneracy condition for nonconvex programming problems with nearly convex feasible sets at a reference point. Next, using a version of the strong CHIP, we present a constraint qualification which is necessary for optimality of the problem (P). Finally, using new characterizations of Robinson's constraint qualification, we give necessary and sufficient conditions for optimality of the problem (P). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21935343
- Volume :
- 10
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Arabian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 151352011
- Full Text :
- https://doi.org/10.1007/s40065-021-00315-3