Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces

Abstract

For a general (constrained or unconstrained) system of conic inequalities, we provide sufficient conditions to ensure the existence of a common error bound for each of the systems obtained from the original one when the given data undergoes a small perturbation. Moreover, we also give some dual characterizations on the existence of error bounds for systems of conic inequalities.