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In this paper, we apply the notion of rpsI-open sets to present and study a new class of functions called contra rpsI-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. Mathematics Subject Classification: 54D1, 54D30, 54A05.doi:10.14445/22315373/ijmtt-v7p518 fatcat:g7clkuklmjfololjo2lzwpgtgu