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.

Aim of this present paper is, we introduce and investigate about new kind of Neutrosophic continuity is called Neutrosophic weakly π generalized continuous in Neutrosophic topological spaces and also discussed about properties and characterization Neutrosophic weakly π generalized continuous.

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, we introduce and investigate about new kind of Neutrosophic mapping is called Neutrosophic Regular Weakly Generalized Homoeomorphism in Neutrosophic topological spaces and also discussed about properties and characterization Neutrosophic Regular Weakly Generalized Homoeomorphism.

In this paper, the concept of generalized neutrosophic closed set is introduced. Further, generalized neutrosophic continuous mapping, generalized neutrosophic irresolute mapping, strongly neutrosophic continuous mapping, perfectly neutrosophic continuous mapping, strongly generalized neutrosophic continuous mapping and perfectly generalized neutrosophic contin- uous mapping are introduced. Several interesting properties and characterizations are also discussed.

The idea of neutrosophic generalized homeomorphism is presented in neutrosophic topological spaces. In addition to this, neutrosophic generalized closed and open mappings are also presented. At the same time, their characterizations are discussed by establishing their related attributes.

In this paper, the concept of neutrosophic soft continuous mapping, neutrosophic soft open mapping, neutrosophic soft closed mapping and neutrosophic soft homeomorphism have been introduced along with the investigation of their several characteristics, and verified by proper examples.