Sensitivity Analysis for Nonlinear Programs and Variational Inequalities with Nonunique Multipliers
Jerzy Kyparisis · Mathematics of Operations Research · 1990
We extend the principal sensitivity analysis results for parametric nonlinear programs and variational inequalities by considering problems with nonunique optimal Lagrange multipliers. Specifically, we derive sufficient conditions for the existence, continuity and directional differentiability of a locally unique perturbed solution of a nonlinear program or a variational inequality.