A novel stability analysis of functional equation in neutrosophic normed spaces
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Date
2024-03
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Abstract
The analysis of stability in functional equations (FEs) within neutrosophic normed
spaces is a significant challenge due to the inherent uncertainties and complexities
involved. This paper proposes a novel approach to address this challenge, offering a
comprehensive framework for investigating stability properties in such contexts.
Neutrosophic normed spaces are a generalization of traditional normed spaces that
incorporate neutrosophic logic. By providing a systematic methodology for
addressing stability concerns in neutrosophic normed spaces, our approach facilitates
enhanced understanding and control of complex systems characterized by
indeterminacy and uncertainty. The primary focus of this research is to propose a
novel class of Euler-Lagrange additive FE and investigate its Ulam-Hyers stability in
neutrosophic normed spaces. Direct and fixed point techniques are utilized to
achieve the required results.