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April 24, 2026Asian-European Journal of Mathematics

Stability and instability of multi-quadratic reciprocal mappings

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Authors

SDSiriluk DonganontABAbasalt Bodaghi

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Overview

Investigation of multi-quadratic reciprocal functions reveals stability properties in mathematical systems, suggesting new frameworks.

Key Points

  • This work aims to study the stability and instability of multi-quadratic reciprocal mappings through functional equations.
  • Introduced a novel multi-quadratic reciprocal function as a system of functional equations.
  • Established stability results using known methodologies like Hyers and Rassias.
  • Provided examples of stability and instability in mappings.
  • Confirmed stability results for multi-quadratic reciprocal functions on nonzero real numbers.
  • Presented a non-stable example of multi-quadratic reciprocal functions in singular cases.
  • Unified various functional equations under a single representation.

Cite This Study

Donganont et al. (2026) studied this question.

synapsesocial.com/papers/69eb092b553a5433e34b3c38https://doi.org/10.1142/s1793557126500580
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Stability of a Quadratic-Reciprocal Functional Equation: Direct Method2024
  2. 2Solution and Stability of a Multi-Quadratic Functional Equation2026
  3. 3Hyers–Ulam–Rassias Stability of Reciprocal-Type Functional Equations: Comparative Study of Direct and Fixed Point Methods2025
  4. 4The system of mixed type additive-quadratic equations and approximations2024 · 1 citations
  5. 5A General System of Functional Equations Deriving From Additive, Quadratic, Cubic, and Quartic Mappings2026 · 1 citations