PERTURBATION OF ERROR BOUNDS FOR VECTOR-VALUED FUNCTIONS

摘要

Motivated by Zheng and Ng's paper (ESAIM Control Optim. Calc. Var. doi:10.1051/cocv/2018047) where they study the stability of error bounds for vector-valued functions under the assumption that the ordering cone has a nonempty interior, we consider the stability issues of error bounds for vector-valued functions under a weaker assumption that the ordering cone is dually compact. In particular, we provide several stable results on error bounds in term of the radius of error bounds which extend some results on the stability of error bounds in the literature.