Perturbation analysis of global error bounds for systems of linear inequalities
This paper studies the existence of a uniform global error bound when a system of linear inequalities is under local arbitrary perturbations. Specifically, given a possibly infinite system of linear inequalities satisfying the Slater's condition and a certain compactness condition, it is shown that for sufficiently small arbitrary perturbations the perturbed system is solvable and then exists a uniform global error bound ii and only if the original system is bounded or its homogeneous system has a strict solution.
globul error bounds infinite and finite systems of linear inequalities residual functions