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

In: Functional Equations and Ulam’s Problem

Author

Listed:
  • Abasalt Bodaghi

    (Islamic Azad University, Department of Mathematics, West Tehran Branch)

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.

Suggested Citation

  • Abasalt Bodaghi, 2026. "General System of the Generalized Euler-Lagrange Cubic Functional Equations and Stability Results," Springer Books, in: Themistocles M. Rassias (ed.), Functional Equations and Ulam’s Problem, pages 55-74, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-08949-6_3
    DOI: 10.1007/978-3-032-08949-6_3
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