Error bounds for convex constrained systems in Banach spaces 1
Wen Wu Song · Control and Cybernetics · 2007
In this paper, we first establish both primal (involv- ing directional derivatives and tangent cones) and dual character- izations (involving subdifferential and normal cones) for the local (global) error bounds of constrained set-valued systems; as an appli- cation, we then derive both primal and dual characterizations for the local (global) error bounds of the constrained convex inequality sys- tems in a general Banach space and also some sufficient conditions. The obtained results improve or generalize some known results.