ALMOST αg*s-CONTINUOUS FUNCTIONS IN TOPOLOGICAL SPACES

Abstract

The notion of rare continuity was introduced by Popa [9] and almost continuous functions were introduced by Singal and Singal [13] in 1968. In this paper, we introduced the new class of functions called rarely αg*s-continuous and almost αg*s-continuous functions in topological spaces using αg*s-open sets. We investigated several properties of rarely αg*s-continuous and almost αg*s-continuous functions which are weaker than αg*s-continuous functions.