Al-Omari, Ahmad; Noiri, Takashi A unified theory of weakly contra-\((\mu,\lambda)\)-continuous functions in generalized topological spaces. (English) Zbl 1299.54003 Stud. Univ. Babeș-Bolyai, Math. 58, No. 1, 107-117 (2013). Summary: We introduce a new notion called weakly contra-\((\mu,\lambda)\)-continuous functions as functions on generalized topological spaces, cf. Á. Császár [Acta Math. Hung. 96, No. 4, 351–357 (2002; Zbl 1006.54003)]. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of several modifications of weak contra-continuity due to C. W. Baker [Int. J. Pure Appl. Math. 40, No. 2, 265–271 (2007; Zbl 1138.54309)]. Cited in 2 Documents MSC: 54A05 Topological spaces and generalizations (closure spaces, etc.) 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:generalized topological space; contra-continuity; contra-\((\mu,\lambda)\)-continuous; weakly contra-\((\mu,\lambda)\)-continuous Citations:Zbl 1006.54003; Zbl 1138.54309 PDFBibTeX XMLCite \textit{A. Al-Omari} and \textit{T. Noiri}, Stud. Univ. Babeș-Bolyai, Math. 58, No. 1, 107--117 (2013; Zbl 1299.54003)