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Kyungpook Mathematical Journal 2024; 64(3): 461-478

Published online September 30, 2024 https://doi.org/10.5666/KMJ.2024.64.3.461

Copyright © Kyungpook Mathematical Journal.

Some Aspects of λ-△m-Statistical Convergence on Neutrosophic Normed Spaces

Reena Antal*, Meenakshi Chawla

Department of Mathematics, Chandigarh University, Mohali, India
e-mail : reena.antal@gmail.com

Department of Applied Sciences, Chandigarh Group of Colleges, Jhanjeri, Mohali, India
e-mail : chawlameenakshi7@gmail.com

Received: February 25, 2023; Revised: March 12, 2024; Accepted: March 13, 2024

Abstract

Neutrosophication is a useful tool for handling real-world problems with partially dependent, partially independent, and even independent components. By examining some properties related to λ-statistical convergence on neutrosophic normed spaces, we provide some functional tools that are helpful in situations of inconsistency and indeterminacy. Additionally, we establish some related results on λ-△m-statistical Cauchy sequences on neutrosophic normed spaces.

Keywords: Neutrosophic normed space, &lambda,-statistical convergence, difference sequences