SOME STUDIES ON EULER-LAGRANGE QUARTIC FUNCTIONAL EQUATIONS IN <i>β</i>-NORMED SPACES
In this paper, we study two types of Euler-Lagrange functional equations that map $ \jmath $ from normed spaces to $ \beta $-normed spaces using quartic functional equations. We will investigate the inequality under various transformations and perturbations using both fixed point and direct methods, to establish the Hyers-Ulam stability of quartic Euler-Lagrange functional equations.
Authors
- John Michael Rassias (ORCID: https://orcid.org/0000-0001-6144-0155)
- Qi Liu (ORCID: https://orcid.org/0000-0002-6049-5282)
- Yin Zhou (ORCID: https://orcid.org/0009-0003-4866-8704)
- Jinyu Xia
- Zhiping Rao (ORCID: https://orcid.org/0000-0003-2125-4475)
Publication Details
- Journal
- Journal of Applied Analysis & Computation
- Published
- 2025-01-01
- DOI
- https://doi.org/10.11948/20240405
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00