GLOBAL ERROR BOUNDS FOR SYSTEMS OF CONVEX POLYNOMIALS OVER POLYHEDRAL CONSTRAINTS

This paper is devoted to studying the Lipschitzian/Holderian-type global error bound for systems of finitely many convex polynomial inequalities over a polyhedral constraint. First, for systems of this type, we show that under a suitable asymptotic qualification condition the Lipschitzian-type global error bound property is equivalent to the Abadie qualification condition; in particular, the Lipschitzian-type global error bound is satisfied under the Slater condition. Second, without regularity conditions, the Holderian global error bound with an explicit exponent is investigated.