Open AccessArticle

Stability of Euler-Lagrange additive inequality in Banach spaces

Mi Hyun Han^1*

Hark-Mahn Kim¹

John Michael Rassias¹

and

Eunyoung Son¹

1Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea.

* Corresponding Author: Mi Hyun Han. Email: good1014@cnu.ac.kr

Annals of Communications in Mathematics , (2026), In Press.

Received: 09 February |

Accepted: 12 March |

Published:

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Abstract.

In the paper, we investigate the Hyers–Ulam stability theorem of an Euler–Lagrange additive functional inequality ∥ Xn j=1hXnk=jλkf(xj − xj−1)∥ ≤ ∥fXn j=1λjxj ∥ + φ(x1, · · · , xn), where x0 ≡ 0, n ≥ 3, subject to control function φ in (non-Archimedean) Banach spaces.

Keywords

contractively subadditive; Euler–Lagrange additive mappings; generalized Hyers–Ulam stability; non-Archimedean Banach spaces

Cite This Article

M. H. Han, H. Kim, J. M. Rassias and E. Son.

Stability of Euler-Lagrange additive inequality in Banach spaces.

Annals of Communications in Mathematics

(2026):

In Press.

Copyright © by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).