Fatou's lemma for multifunctions with unbounded values in a dual space

摘要

A version of Fatou's lemma for multifunctions with unbounded values in infinite dimensions is presented. It generalizes both the recent Fatou-type results for Gelfand integrable functions of Cornet-Martins da Rocha [18] and, in the case of finite dimensions, the finite-dimensional version of the unifying multivalued Fatou-type result of Balder-Hess [12].