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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.

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

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  • 发表日期：

    2026年

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  • Abasalt Bodaghi

摘要

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.