Introduction to Weakly b- Transitive Maps on Topological Spaces
Mohammed Nokhas Murad Kaki
Issue:
Volume 1, Issue 4, August 2013
Pages:
59-62
Received:
28 September 2013
Published:
10 November 2013
Abstract: The concept of b-regular open set was introduced by N. Rajesh.. The aim of this paper is to introduce and characterize weakly b-transitive maps by using b-regular open sets and investigate some of its properties. Further, we introduce the notions of weakly b- minimal mapping. We have proved that every b-transitive map is a weakly b- transitive map but the converse not necessarily true, and that every b-minimal map is a weakly b- minimal map, but the converse not necessarily true.
Abstract: The concept of b-regular open set was introduced by N. Rajesh.. The aim of this paper is to introduce and characterize weakly b-transitive maps by using b-regular open sets and investigate some of its properties. Further, we introduce the notions of weakly b- minimal mapping. We have proved that every b-transitive map is a weakly b- transitive map ...
Show More
