Continuity and convergence on neutrosophic soft normed linear spaces

Abstract

A soft linear space with a neutrosophic norm defined on it is called a neutrosophic soft normed linear space (NSNLS). The notions of compact soft set, continuity and uniform continuity of neutrosophic soft function defined in NSNLS are introduced in this study. These are explained by suitable examples. In continuation, the convergence and uniform convergence of a sequence of neutrosophic soft functions over NSNLS are defined along with proper examples. All these concepts are extended by developing some basic theorems.