Some Results On Continuity And Boundedness Of Linear Operators On Neutrosophic Fuzzy n-Normed Spaces?

Abstract

In this research, our primary objective is to elucidate various aspects of continuity in the context of linear operators defined on neutrosophic fuzzy n-normed spaces (NFnNS). Specifically, we investigate weak, strong, and sequential continuity in this setting. We present an illustrative example that underscores the fact that linear operators that are sequentially continuous may not necessarily exhibit strong continuity when applied to NFnNS. Furthermore, we introduce the concepts of weak and strong boundedness for operators in these spaces and explore their interrelationships with continuity. © 2024 Elsevier B.V., All rights reserved.