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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES

Ghadir SADEGHI
Reza SAADATI
Mohammad JANFADA
John M. RASSIAS
Pages
571–579
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our resultsin the setting of non-Archimedean normed spaces are different from theresults in the setting of normed spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces.
📊
Key Findings & Data:In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces.
💡
Conclusion & Impact:Our resultsin the setting of non-Archimedean normed spaces are different from theresults in the setting of normed spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized Hyers-Ulam stability · Euler-Lagrange functional equation · Non-Archimedean normed space

Abstract

In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces. Our resultsin the setting of non-Archimedean normed spaces are different from theresults in the setting of normed spaces.

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Cite This Article

SADEGHI, G., SAADATI, R., JANFADA, M., RASSIAS, J. M. (2022). STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 571–579. https://ajindex.com/articles/530616

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