Parametric Nonlinear Programming Problems under the Relaxed Constant Rank Condition
Leonid I. Minchenko, Sergey Stakhovski · SIAM Journal on Optimization · 2011
The paper deals with perturbed nonlinear programming problems under the relaxed constant rank regularity condition. We study the relation of the relaxed constant rank regularity condition with the error bound property, the directional differentiability of the optimal value function, and necessary and sufficient second order optimality conditions.