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A unified theory of weakly contra-\((\mu,\lambda)\)-continuous functions in generalized topological spaces. (English) Zbl 1299.54003

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)].

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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