Ekici, ErdalJafari, Saeid2025-01-272025-01-2720080354-5180https://doi.org/10.2298/FIL0802065Ehttps://hdl.handle.net/20.500.12428/27315In this paper, the notions of DS*-sets and DS*-continuous functions are introduced and their properties and their relationships with some other types of sets are investigated. Moreover, some new decompositions of continuous functions are obtained by using DS*-continuous functions, DS-continuous functions and D-continuous functions.eninfo:eu-repo/semantics/openAccessDS*-setsDS*-continuous functiondecompositionArticle222657310.2298/FIL0802065EN/AWOS:000266527200007