In this study, we redefine some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.

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The main object of this paper is to investigate λ-statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any λ-statistically ward continuous real valued function on a λ-statistically ward compact subset E ⊂ R is uniformly continuous.

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In this paper, we introduce soft continuous mappings which are defined over an initial universe set with a fixed set of parameters. Later we study soft open and soft closed mappings, soft homeomorphism and investigate some properties of these concepts.