• KASHYAP G. RACHCHH
• SAJEED I. GHANCHI
• ASFAK A. SONEJI

Recently, We defined Kasaj-topological space and weak open sets namely Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets in Kasaj topological spaces and analyzed their basic properties. Also we defined new types of continuous functions namely Kasaj-continuous function, Kasaj-pre-continuous function, Kasaj-semi-continuous function, Kasaj-alpha-continuous function and Kasaj-beta-continuous function in Kasaj topological spaces. The purpose of this paper is to define new classes of sets called Kasaj-b-open(KS-b-open) sets, Kasaj-regular-open(KS-regular-open) sets and a new types of continuous functions namely Kasaj-b-continuous function in Kasaj topological spaces. We shall investigate their basic properties and also analyze relation among Kasaj-open sets, Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets, Kasaj-b-open sets and Kasaj-regular-open sets.

Kasaj topological space, Kasaj-b-open set, Kasaj-regular-open set

"On Kasaj-b-open Sets and Kasaj-regular-open Sets in Kasaj Topological Spaces", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 12, page no.652-657, December-2020, Available :http://www.jetir.org/papers/JETIR2012082.pdf

"On Kasaj-b-open Sets and Kasaj-regular-open Sets in Kasaj Topological Spaces", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 12, page no. pp652-657, December-2020, Available at : http://www.jetir.org/papers/JETIR2012082.pdf