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Article | Open Access

Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces

Department of Mathematics, National Institute of Technology, Patna 800005, India
Department of Mathematics, Malatya Turgut Ozal University, Malatya 44040, Türkiye
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Abstract

This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS). Additionally, we define various types of bounded linear operators (both strong and weak) that constitute a linear space, and we explore the concept of neutrosophic compact linear operators.

Keywords

t-normt-conormneutrosophic normed linear spaces (NNLS)bounded linear operatorcompact linear operator

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Fuzzy Information and Engineering
Volume 17 Issue 1,
March 2025
Pages 39-58
DOI: 10.26599/FIE.2025.9270052

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Cite this article:
Chaurasiya C, Ahmad A, Shankar H, et al. Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces. Fuzzy Information and Engineering, 2025, 17(1): 39-58. https://doi.org/10.26599/FIE.2025.9270052

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Received: 04 November 2024
Accepted: 22 December 2024
Published: 31 March 2025
© The Author(s) 2025. Published by Tsinghua University Press.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).