In this paper, the notions of continuous and irresolute functions in neutrosophic topological spaces are given. Furthermore, we analyze their characterizations and investigate their properties.

In this paper we introduce the concepts of contra 𝛼 generalized continuous mappings and contra 𝛼 generalized irresolute mappings in neutrosophic topological spaces. We also discuss various properties and relations between the newly introduced continuous mappings and the other existing contra continuous mappings in neutrosophic topological spaces.

Aim of this present paper is to introduce and investigate new kind of neutrosophic continuous function called neutrosophic econtinuous maps in neutrosophic topological spaces and also relate with their near continuous maps. Also, a new irresolute map called neutrosophic e-irresolute maps in neutrosophic topological spaces is introduced. Further, discussed about some properties and characterization of neutrosophic e-irresolute maps in neutrosophic topological spaces.

In this paper, the concepts of generalized neutrosophic contra-continuous function, generalized neutrosophic contra-irresolute function and strongly generalized neutrosophic contra-continuous function are introduced. Some interesting properties are also studied.

In this paper we have introduced weakly generalized continuous mappings in neutrosophic topological spaces and analyzed some of their properties. We have discussed some characterizations of weakly generalized continuous mappings in neutrosophic topological spaces.

In this paper, we introduce and study the concept of "neutrosophic closed set "and "neutrosophic continuous function". Possible application to GIS topology rules are touched upon.

In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic supra pre- continious functions. Furthermore, the concepts of neutro- sophic supra pre-open maps and neutrosophic supra pre-closed maps in terms of neutrosophic supra pre-open sets and neutrosophic supra pre-closed sets, respectively, are introduced and several prop- erties of them are investigated.