MIGUEL CALDAS 1, SAEID JAFARI 2 1. Departamento de Matematica Aplicada , Universidade Federal Fluminense,
Rua Mario Santos Braga s/n, rCEP 24020-140, Niteroi, BRASIL , e-mail:gmamccs@vm.uff.br
2. Department of Mathematics, College of Vestsjaelland South, Herrestraede,
11, 4200 Slagelse, DENMARK, e-mail: jafari@stofanet.dk
The object of this paper is to introduce and investigate the new notion of faint θ -rare e-continuity, that is more general that both rare continuity and faint θ -rare continuity.