Weakly b-continuous functions

We introduce a new class of functions called weakly b  -continuous which is included in the class of weakly ββ-continuous functions due to Popa and Noiri [Popa V, Noiri T. Weakly ββ-continuous functions. An Univ Timis Ser Mat-Inform 1994;32(2):83–92]. Some characterizations and several properties concerning weak b  -continuity are obtained. Furthermore relationships among strong θθ-b-continuity, b-continuity, weak b-continuity and faint b-continuity are investigated.