Weakly b-Continuous Functions

Arvind Kumar, Vinshu, Bhopal Singh Sharma

Abstract: In 1961; Levine [7] introduced weakly continuous functions and in 1987; Noiri [12] introduced and studied weakly -continuous functions. Later on Ekici [5]; in 2008; introduced and studied BR-continuous and hence weakly BR-continuous functions in a similar fashion; by means of b-regular and b-open [4] sets. This prompted us to introduce and study weakly b-continuous by making use of b-open sets. We studied several characterizations of weakly b-continuous functions. Some basic properties including restrictions and compositions of such functions have also been studied.

Keywords: Weakly continuous functions, weakly -continuous functions, Weakly BR-continuous functions, Weakly b-continuous and b-open sets