A novel stability analysis of functional equation in neutrosophic normed spaces

Ahmad Aloqaily; P. Agilan; K. Julietraja; S. Annadurai; N. Mlaiki

doi:10.1186/s13661-024-01854-2

A novel stability analysis of functional equation in neutrosophic normed spaces

Ahmad Aloqaily
, P. Agilan
, K. Julietraja
, S. Annadurai
, N. Mlaiki

Western Sydney University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Article number	47
Number of pages	24
Journal	Boundary Value Problems
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13661-024-01854-2
Publication status	Published - Dec 2024

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Publisher Copyright:
© The Author(s) 2024.

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AU - Mlaiki, N.

PY - 2024/12

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N2 - 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.

AB - 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.

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A novel stability analysis of functional equation in neutrosophic normed spaces

Abstract

Bibliographical note

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