Singh, Mishra and Pant [New fixed point theorems for asymptotically regular multi-valued maps, Nonlinear Anal. 71(2009), no. 7-8, 3299-3304] extended the work of Proinov [Fixed point theorems in metric spaces, Nonlinear Anal. 64(2006), 546-557] for multi-valued maps. In this paper, we extend their results for multivalued mappings in the setting of H+-metric spaces. An example presented herein shows the usefulness of our results.