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\((\zeta, \mu)\)-continuous functions on generalized topological spaces. (English) Zbl 1336.54004

Summary: A new class of functions called \((\zeta, \mu)\)-continuous functions has been defined and studied. We obtain some characterizations and several properties of \((\zeta, \mu)\)-continuous functions. Also, we discuss the relationships between \((\zeta, \mu)\)-continuity and other related generalized forms of \((\zeta, \mu)\)-continuity.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54C08 Weak and generalized continuity
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