In this paper we consider new weak and strong forms of γ-irresoluteness and γ-closure via the concept of gγ-closed sets which we call ap-γ-irresolute, ap-γ-closed and contra-γ-irresolute maps. Moreover, we use ap-γ-irresolute and ap-γ-closed maps to obtain a characterization of γ − T 1 2 -spaces.

The concept of strongly α-irresolute mappings by G. Faro Lo [4] has been extended in topological spaces. We introduce and study fuzzy strongly αirresolute maps on fuzzy topological spaces. Some of its properties have also been investigated. Relation between fuzzy strongly α-irresolute and fuzzy αcontinuous map has also been established. The stronger form of fuzzy αcontinuous map is strongly α-i...

In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

In this paper a new class of topological spaces called Tmin spaces and Tmax spaces and study their relations with topological spaces. Also a new class of maps called minimal continuous, maximal continuous, minimal irresolute, maximal irresolute, minimalmaximal continuous and maximal-minimal continuous maps in topological spaces and study their relations with various types of

Aim of this present paper is, we introduce and investigate neutrosophic Z-continuous maps which is a new kind continuous in topological spaces. Also discussed about some properties characterization Z-irresolute maps.

The aim of this paper is to introduce and study gp-continuous maps. Basic characterizations and several properties concerning them are obtained.Further,gp-irresolute map is also defined. Some of the properties are investigated. 1991 AMS Classification: 54A05, 54D10.