This is an announcement for the paper “Gauge integrals and selections of weakly compact valued multifunctions” by D. Candeloro, L. Di Piazza, K. Musial and A. R. Sambuchini. Abstract: In the paper Henstock, McShane, Birkhoff and variationally multivalued integrals are studied for multifunctions taking values in the hyperspace of convex and weakly compact subsets of a general Banach space X. In particular the existence of selections integrable in the same sense of the corresponding multifunctions has been considered. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1602.00473