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Research Paper | Mathematics | India | Volume 3 Issue 5, May 2014

Weakly b-Continuous Functions

Arvind Kumar ^[22] | 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

Edition: Volume 3 Issue 5, May 2014,

Pages: 1417 - 1419