Modak, ShyamapadaIslam, Md. Monirul2020-02-242020-02-2420192587-1277https://hdl.handle.net/20.500.12451/7281In this paper, we introduce two operators associated with ?* and *? operators in ideal topological spaces and discuss the properties of these operators. We give further characterizations of Hayashi-Samuel spaces with the help of these two operators. We also give a brief discussion on homeomorphism of generalized closure spaces which were induced by these two operators.enAttribution-NonCommercial-NoDerivs 3.0 United Statesinfo:eu-repo/semantics/openAccessIdeal Topological SpacesHayashi-Samuel SpaceIsotonic Spaces?-operator?-operatorHomeomorphismArticle32112128