This is an announcement for the paper "A Lindenstrauss theorem for some classes of multilinear mappings" by D. Carando, S. Lassalle, and M. Mazzitelli. Abstract: Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal whose Arens extensions simultaneously attain their norms. We also consider the class of symmetric multilinear mappings. Archive classification: math.FA Remarks: 11 pages Submitted from: mmazzite@dm.uba.ar The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.0488 or http://arXiv.org/abs/1401.0488