Continuity and boundedness of linear operators on neutrosophic 2-normed spaces

Abstract

In present work, we aim to introduce certain concepts of continuity that is weak, strong and sequentially continuity of linear operators defined on neutrosophic 2-normed spaces. We provide an example that shows sequential continuous linear operators may not be strongly continuous on these spaces. Later, we define weakly and strongly boundedness of an operator on neutrosophic 2-normed spaces and study some relevant connections between continuity and boundedness.