摘要
Valadier, Zowe, et al. discussed the subdifferential of the vector-valued function, but they carried on these discussions in the 'absolute minimum' sense. Recently, Tanino and Sawaragi proposed a definition for the subgradient and subdifferential of the vector-valued functions in the 'efficient point' sense. In this note, we prove the closed property of the subdifferential mapping of vector-valued functions.