6533b86ffe1ef96bd12cd119
RESEARCH PRODUCT
Metric regularity and second-order necessary optimality conditions for minimization problems under inclusion constraints
Abderrahim Jouranisubject
Mathematical optimizationControl and OptimizationMultivalued functionApplied MathematicsTheory of computationSolution setRegular polygonBanach spaceMinificationManagement Science and Operations ResearchDirectional derivativeMathematicsdescription
In this paper, we establish some general metric regularity results for multivalued functions on Banach spaces. Then, we apply them to derive second-order necessary optimality conditions for the problem of minimizing a functionf on the solution set of an inclusion 0?F(x) withx?C, whenF has a closed convex second-order derivative.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-04-01 | Journal of Optimization Theory and Applications |