STABILITY OF GENERAL QUADRATIC EULER–LAGRANGE FUNCTIONAL EQUATIONS IN MODULAR SPACES: A FIXED POINT APPROACH

In this paper, we establish a result on the  Hyers–Ulam–Rassias stability of the Euler–Lagrange functional equation. The work presented here is in the framework of modular spaces. We obtain our results by applying a fixed point theorem. Moreover, we do not use the \(\Delta_\alpha\)-condition of modu...

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Principais autores:	Parbati Saha, Pratap Mondal, Binayak S. Choudhuary
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2025-07-01
coleção:	Ural Mathematical Journal
Assuntos:	hyers–ulam–rassias stability, euler–lagrange functional equation, modular spaces, convexity, fixed point method
Acesso em linha:	https://umjuran.ru/index.php/umj/article/view/853
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