Ekici, ErdalNoiri, Takashi2025-01-272025-01-2720090960-0779https://doi.org/10.1016/j.chaos.2008.08.007https://hdl.handle.net/20.500.12428/27316The aim of this paper is to introduce the classes of alpha AB-sets, AC-sets and BC-sets which are weaker forms of AB-sets, AS-sets, S-sets and AC-sets, respectively. The relationships of between alpha AB-sets and the related sets and between AC-sets and BC-sets are discussed. By using alpha AB-sets, AC-sets, BC-sets and the related sets, new decompositions of alpha AB-continuity, alpha-continuity, continuity and AB-continuity are provided. (C) 2008 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessTopological-SpacesSemi-ContinuityOpen SetsParticlesArticle4142055206110.1016/j.chaos.2008.08.007Q1WOS:0002680601000672-s2.0-67349275029Q1