Study of Neutrosophic b-continuous maps in Neutrosophic Topological Spaces

Neutrosophic sets were introduced to deal with indeterminancy and persistent issues and they were used to develop the neutrosophic topological spaces. In this paper, the concept of neutrosophic b-continuous maps and strongly neutrosophic b-continuous maps are defined and some important properties are developed. We prove that every neutrosophic strongly b-continuous map is a neutrosophic b-continuous map. We examine the relationship of neutrosophic b-continuous maps with the already defined continuous maps such as neutro sophic semi-continuous maps, neutrosophic pre-continuous maps, neutrosophic α-continuous maps. We prove that if a map is any of these neutrosophic continuous map, then that is a neutrosophic b-continuous map. Further, we prove that the surjective neutrosophic b-continuous image of a neutrosophic b-connected space, and a neutrosophic b-compact space is a neutrosophic b-connected space, and neutrosophic b-compact space respectively.