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On contra Λ<sup>s</sup>i-continuous functions and their applications

Abstract:

In this work, we introduce and study the classes of contra ΛsI-continuous, contra quasi-ΛsI-continuous and contra ΛsI-irresolute functions in a topological space endowed with an ideal. We investigate the relationships among these functions and their respective characterizations. Also, we analyze the behavior of certain topological notions under direct and inverse images of these new classes of functions.