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Contra pre-I-continuous functions

Keywords: pre-I-open set , contra pre-I-continuity , contra semi-I-continuity , contra alpha-I-continuity , contra eta-I-continuity

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Abstract:

In this paper, we apply the notion of pre-$mathcal{I}$-open sets to present and study a new class of functions called contra pre-$mathcal{I}$-continuous functions in ideal topological spaces. Relationships between this new class and other classes of functions are investigated and some characterisations of this new class of functions are studied. Also we introduce the notions of contra strong $beta$-$mathcal{I}$-continuous functions and contra $delta$-$mathcal{I}$-continuous functions to obtain decompositions of contra $alpha$-$mathcal{I}$-continuity and contra semi-$mathcal{I}$-continuity.

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