The Stability Of The Error Bounds For The Conic Inequalities In Finite Dimensional Objective Space

Under the assumption that the ordered cone has a non-empty interior,several authors have studied the stability of error bounds of the corresponding vector inequalities when the concerned data undergo some perturbation.In this paper,we mainly study the stability of the error bounds for conic subsmooth inequalities in the finite dimensional objective space.In the case of unrestricted order cone,we will utilize the vector subdifferential to obtain the sufficient and necessary conditions for the stability of the error bounds for the conic subsmooth inequalities.