^{1}Department of Mathematics, Annamalai University, Annamalai Nagar-608 002, Tamil Nadu, India.

^{2}Department of Mathematics, Pope John Paul II College of Education, Reddiar Palayam, Puducherry-605010, India.

^{3}Department of Mathematics (DDE), Annamalai University, Annamalai Nagar-608 002, Tamil Nadu, India.

Abstract

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $\beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $\beta^{*}$-continuous and almost contra $\beta^{*}$-continuous functions as a new generalization of contra continuity.

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