Kohli, J.K.Singh, D.Kumar, RajeshAggarwal, Jeetendra2017-09-082017-09-082010-04-011576-9402https://riunet.upv.es/handle/10251/86826[EN] Two new weak variants of continuity called 'R-continuity'and 'F-continuity' are introduced. Their basic properties are studied and their place in the hierarchy of weak variants of continuity, that already exist in the literature, is elaborated. The class of R-continuous functions properly contains the class of continuous functions and is strictly contained in each of the three classes of (1) faintly continu-ous functions studied by Long and Herrignton (Kyungpook Math. J.22(1982), 7-14); (2) D-continuous functions introduced by Kohli (Bull.Cal. Math. Soc. 84 (1992), 39-46), and (3) F-continuous functions which in turn are strictly contained in the class of z-continuous functions studied by Singal and Niemse (Math. Student 66 (1997), 193-210).So the class of R-continuous functions is also properly contained in each of the classes of D∗-continuous functions, D-continuous function and set connected functions.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Almost continuous functionD-continuous functionz-continuous functionQuasi θ-continuous functionFaintly continuous functionFunctionally Hausdorff spaceZero setArtículo2017-09-0810.4995/agt.2010.1727Abierto1989-4147