On decomposition of generalized continuity

Abstract

The aim of this paper is to obtain some decompositions of
generalized continuity by providing some new variants of generalized continuous functions. Our partial success is an indication of signicant differences between
the theory of topological spaces and that of generalized topological spaces.

Keywords:

generalized topology, generalized open sets, $g$-continuity,
weak $g$-continuity, $g-LC$-continuity, $g-A$-continuity, $g$-ic continuity, $g$-basic interiority, decomposition of continuity, decomposition of generalized continuity, continuity dual.