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April 1, 2026Journal of MathematicsOpen Access

A General System of Functional Equations Deriving From Additive, Quadratic, Cubic, and Quartic Mappings

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Authors

SDSiriluk DonganontUniversity of PhayaoABAbasalt BodaghiIslamic Azad University, Tehran

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Implication

Reveals a general system of functional equations in mathematic mappings, indicating their stability properties and characteristics.

Key Points

  • The aim is to introduce a unified system of functional equations relating to mixed-type mappings.
  • Develop a system of functional equations from mixed additive-quadratic and cubic-quartic mappings.
  • Characterize multimixed mappings and represent them with a unified equation.
  • Establish stability using Hyers–Ulam–Rassias stability in Banach spaces.
  • Provide an example demonstrating stability issues in singular cases.
  • A unified functional equation for multimixed mappings is established.
  • Stability conditions are characterized, highlighting mild conditions for multi-additive mappings.
  • A nonstable example of a function is provided in singular cases.
  • A numerical example illustrates the differences in functionality between approximate and exact mappings.

Cite This Study

Donganont et al. (2026) studied this question.

synapsesocial.com/papers/69cd7b275652765b073a8e9ehttps://doi.org/10.1155/jom/6669054
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