Strong Stability in Variational Inequalities
Jiming Liu · SIAM Journal on Control and Optimization · 1995
In this paper we consider a generalization of Kojima’s strong stability in nonlinear programs to variational inequalities constrained by a system of equations and inequalities. Roughly speaking, strong stability refers to the local existence and uniqueness of a solution of a system under small perturbations. The purpose of the paper is to establish a new and complete characterization for strongly stable generalized Karush–Kuhn–Tucker points and to give a complete characterization for strongly stable stationary solutions under the Mangasarian–Fromovitz constraint qualification.