Stability of generalized equations under nonlinear perturbations
The aim of this paper is to investigate solution stability of generalized equations over polyhedral convex sets. Based on the results of Mordukhovich and Rockafellar on the chain rules for partial second-order subdifferentials, an exact formula for computing the Mordukhovich coderivative of the normal cone operator to nonlinearly perturbed polyhedral convex sets is obtained. This formula leads to an upper estimate for the values of the Mordukhovich coderivative of the solution map. Finally, a sufficient condition for the local Lipschitz-like property of the solution map of the generalized equations under nonlinear perturbations is derived.
scientific article; zbMATH DE number 6912895
scientific article