A mapping from a space X into a space Y is called S-opeıı if the image of each somewhere dense subset of X is a somewhere dense subset of Y, or eguivalently for every nowhere dense subset N of (Nj is nowhere dense subsetofA [6.p.45]. In this paper, we first consider a proposition which was proved in [6.p.45 ] on 8-open mappings. We improve this proposition and extend it to the varions types of mappings and some results which show that the preimage of a Baire space is Baire space under the various types of bijection mappings, are obtained.