Continuity and Banach contraction principle in intuitionistic fuzzy n -normed linear spaces

In classical functional analysis, continuous mappings are essential for the study of many important theorems such as open mapping theorem, closed graph theorem and uniform boundedness theorem. These results are yet to be established in the general setting of an intuitionistic fuzzy n -normed linear space (IFnNLS). This motivates us to introduce the notion of continuous linear operators in this generalized setting. Furthermore, we establish the uniform continuity theorem and Banach’s contraction principle in an IFnNLS.