Some properties of contra-γ-continuous functions

The notion of contra-continuity was introduced and investigated by Dontchev [Int. J. Math. Math. Sci. 19 (1996) 303]. In this paper, we apply the notion of γ-open sets in topological spaces to present and study a new class of functions called contra-γ-continuous functions which lies between classes of contra-semi-continuous functions and contra-β-continuous functions. We speculate that contra-γ-continuity may be relevant to the physics of fractal and cantorian spacetime.