Abstract
The aim of this paper is to introduce the concepts of regularly continuous and fully continuous mappings as the mappings that have the preimages of regular open sets are regular open (respectively, open ). We investigate the connections between these classes and several well-known others of `generalized continuous mappings'. Several characterizations and decompositions of certain continuities are provided. In particular, a decomposition of complete continuity, which was first introduced by Arya and Gupta [1] , is also provided. Keywords: Regular open set, Preopen set, t-set, Continuous mapping.
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