The invention relates to novel cosmetic or dermopharmaceutical compositions for topical use which are used to prevent the symptoms of cutaneous slackening and, more specifically, to treat the visible signs of ageing and fatigue, such as bags and circles under the eyes. The inventive compositions comprise, in a cosmetically-acceptable medium, a combination of at least two, and preferably three, components selected from: a) hesperidin or the derivatives thereof; b) A.C.E. enzyme inhibitor dipeptides; and c) oligopeptides R2-(AA)n-Pro-Arg, wherein (AA)n is a peptide chain, (AA) is any amino acid or any derivative of any amino acid, n is included between 1 and 3, and R2═H or an alkoyl chain having a carbon length of between C2 and C22.