On some topological aspects in neutrosophic-2- normed spaces

Abstract

In present paper we introduce the concepts of neutrosophic boundedness, neutrosophic compactness in neutrosophic 2-normed spaces and analyze some of their topological properties. We show that if the space is finite dimensional then any two neutrosophic 2-norms are equivalent. Finally, we defined neutrosophic boundedness and neutrosophic continuity of linear operators and study some of their properties.