Weak sharp minima revisited, Part III: error bounds for differentiable convex inclusions

摘要

The notion of weak sharp minima unifies a number of important ideas in optimization. Part I of this work provides the foundation for the theory of weak sharp minima in the infinite-dimensional setting. Part II discusses applications of these re_sults to linear regularity and error bounds for nondifferentiable convex inequalities. This work applies the results of Part Ito error bounds for differentiable convex inclu_sions. A number of standard constraint qualifications for such inclusions are also examined.