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In this chapter, we explore stability results motivated by the concept of Ulam stability of the following generalized quadratic functional equation: $$\begin{aligned} f\left( \sum _{i=1}^{m}x_{i}\right) = \sum _{i=1}^{m}f(x_{i})+\dfrac{1}{2}\sum _{1\le i

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A Fuzzy Approach to the Stability of a General Quadratic Functional Equation: Insights from the Fixed-Point Theory

  • 章节

  • 发表日期：

    2026年

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  • Doaa Rizk,
  • Ismaail Essalih,
  • Jameel Al-Anisi,
  • Muaadh Almahalebi

摘要

In this chapter, we explore stability results motivated by the concept of Ulam stability of the following generalized quadratic functional equation: $$\begin{aligned} f\left( \sum _{i=1}^{m}x_{i}\right) = \sum _{i=1}^{m}f(x_{i})+\dfrac{1}{2}\sum _{1\le i