It has been studied that, the fine-irresolute mapping introduced in [13] includes all mappings defined by Császár (cf. [5]) in a fine space which is a special case of generalized topological space. It has been also noted that g-α-irresolute function defined by Bai et al [1] is also included in the same fine-irresolute mapping.

We define and characterize a somewhat fuzzy γ-irresolute continuous mapping and a somewhat fuzzy irresolute γ-open mapping on a fuzzy topological space. AMS Mathematics Subject Classification : 54A40.

The main purpose of our paper, is to investigate more properties of the soft β-separation axioms given in [8]. We show that, the properties of soft β-Ti-spaces (i = 1, 2) are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft βregular and soft β-normal are soft topological properties under bijection, irresolute soft and irresolute ...

in this study, we investigate the further properties of quasi irresolute topological groupsde ned in [20]. we show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at eg, then f is irresolute on g. later we prove that in a semi-connectedquasi irresolute topological group (g; ; ), if v is any symmetric semi-open neighborhood ofeg, then g is generated by v...

Many scientists have studied and improved the soft set theory, which is initiated by Molodtsov [33] and easily applied to many problems having uncertainties from social life. The main purpose of our paper, is to introduce new soft separation axioms based on the b-open soft sets which are more general than of the open soft sets. We show that, the properties of soft b-Ti-spaces (i = 1,2) are soft...

In the ideal topological spaces (X, ?, I) and (Y, J, ?), we define (I, J)-irresolute function, weakly-(I, J)-irresolute, strongly-(I, functions, semi-I-open sets quasi-H-closed modulo I. We discuss properties of function mapping connected, closed, compact I semi-I-isolated points. J)-Homeomorphisim on presemi-I-open closure subsets are explored in this paper.

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, we have some characterizations of fuzzy semi-irresolute and strongly irresolute functions.

The aim of this paper is to introduce various functions associated with semi*α-open sets. Here semi*αcontinuous, semi*α-irresolute, contra-semi*α-continuous and contra-semi*α-irresolute functions are defined. Characterizations for these functions are given. Further their fundamental properties are investigated. Many other functions associated with semi*α-open sets and their contra versions are ...