ERRATA

Weak sharp minima revisited, part I: basic theory,
Control & Cybernetics, 31(2002), 439-469.

The Appendix of this paper contains two related results each having the same missing hypothesis. The results are Theorem A.1 Part 4 (page 462) and Lemma B.3 (page 466). Both results require that the space X be Banach. The correction to Lemma B.3 appears as Lemma 5 (page 259) in "Weak sharp minima revisited, part II: application to linear regularity and error bounds", Math. Programming, 104(2005) 235-261.

The correct results and their proofs are given below.

Theorem A.1 Part 4

Lemma B.3