Continuous and bounded operators on neutrosophic normed spaces

Abstract

In this paper, we define the concept of continuous, sequentially continuous, and strongly continuous mappings neutrosophic normed spaces. Also, we have some important relationships between continuous, sequentially continuous, strongly continuous relationships mappings. Furthermore, the concept of neutrosophic Lipschitzian mapping is introduced and a neutrosophic version of Banach’s contraction principle is achieved. Finally, the definition of neutrosophic bounded and weakly bounded linear operators are discussed and studied.