University of MaraghehSahand Communications in Mathematical Analysis2322-580708120171001Contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions55712204510.22130/scma.2017.22045ENAppachiVadivelDepartment of Mathematics, Annamalai University, Annamalai Nagar-608 002, Tamil Nadu, India.0000-0001-5970-035XRadhakrishnanRameshDepartment of Mathematics, Pope John Paul II College of Education, Reddiar Palayam, Puducherry-605010, India.DuraisamySivakumarDepartment of Mathematics (DDE), Annamalai University, Annamalai Nagar-608 002, Tamil Nadu, India.Journal Article20160305The 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.https://scma.maragheh.ac.ir/article_22045_9b9885af1b47833c61470ac4706d0a25.pdf