Name
Abstract | ||
|---|---|---|
Abstract The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C 2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian–Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s10957-012-0147-x | Journal of Optimization Theory and Applications |
Keywords | Field | DocType |
Parameterized generalized equation,Regular and limiting coderivative,Constant rank CQ,Mathematical program with equilibrium constraints | Mathematical optimization,Linear independence,Mathematical analysis,Calmness,Mathematics,Computation,Convex cone | Journal |
Volume | Issue | ISSN |
159 | 3 | 1573-2878 |
Citations | PageRank | References |
12 | 0.83 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| René Henrion | 1 | 305 | 29.65 |
| Alexander Y. Kruger | 2 | 47 | 4.97 |
| Jirí V. Outrata | 3 | 228 | 25.98 |