Independent form of (θ, s)-continuous functions in topological spaces
Keywords:Almost contra-precontinuous functions, (θ, s)-continuous functions, Almost contra-Pβ-continuous functions, Pβ-open, topological space
We introduce a new class of almost contra-Pβ-continuous functions which is a subclass of the class of almost contra-precontinuous functions . This class contains the classes of regular set connected functions, perfectly continuous functions and contra-Pβ-continuous functions. It is shown that almost contra-Pβ-continuity is independent to (θ, s)-continuity  and contra-precontinuity . Furthermore, we obtain basic properties and preservations theorems for almost contra-Pβ-continuity.
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