General System of the Generalized Euler-Lagrange Cubic Functional Equations and Stability Results

Abasalt Bodaghi
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Abasalt Bodaghi: Islamic Azad University, Department of Mathematics, West Tehran Branch

A chapter in Functional Equations and Ulam’s Problem, 2026, pp 55-74 from Springer

Abstract: Abstract The aim of this chapter is to characterize (two ways) and to prove the stability of multi-Euler-Lagrange cubic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange cubic mappings to a single functional equation, namely, the multi-Euler-Lagrange cubic functional equation. Moreover, some results corresponding to known stability outcomes regarding the multi-Euler-Lagrange cubic functional equation are presented in intuitionistic fuzzy normed spaces and non-Archimedean normed spaces by applying the fixed point methods.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-08949-6_3

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DOI: 10.1007/978-3-032-08949-6_3

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