Continuous and Irresolute Functions in Neutrosophic Topological Spaces


Book Description

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.




Contra α Generalized Continuous Mappings in Neutrosophic Topological Spaces


Book Description

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.




On Neutrosophic Supra P re-Continuous Functions in Neutrosophic Topological Spaces


Book Description

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.




Neutrosophic Closed Set and Neutrosophic Continuous Functions


Book Description

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.




Weakly Generalized Continuous Mappings in Neutrosophic Topological Spaces


Book Description

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.




Neutrosophic Φ-open sets and neutrosophic Φ-continuous functions


Book Description

We introduce the notion of neutrosophic Φ-open set and neutrosophic Φ-continuous mapping via neutrosophic topological spaces and investigate several properties of it. By defining neutrosophic Φ -open set, neutrosophic Φ -continuous mapping, and neutrosophic Φ –open mapping, we prove some remarks, theorems on neutrosophic topological spaces.




Generalized Neutrosophic Contra-Continuity


Book Description

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




Neutrosophic Topological Spaces


Book Description

In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.




NEUTROSOPHIC RW CONTINUITY, NEUTROSOPHIC RW-OPEN MAPS AND CLOSED MAPS


Book Description

In this paper we introduce the concept of neutrosophic rw-continuity, neutrosophic rw-open maps and closed maps in neutrosophic topological spaces and some of their properties are discussed.




On G-continuity in neutrosophic topological spaces


Book Description

Continuity is one of most important concepts in many mathematical disciplines. In some situations general notion of continuity is replaced by sequential continuity. Connor and Grosse-Erdmann replaced lim in the definition of sequential continuity of real functions by a linear functional G on a linear subspace of the vector space of all real sequences. Their definition was extended to topological group X by replacing a linear functional G with an additive function defined on a subgroup of the group of all X-valued sequences. In this paper we introduce neutrosophic G-continuity and investigate its properties in neutrosophic topological spaces.