10.30495/maca.2025.2060396.1136

RN-nearly mixed type A-Q functional equation

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  • Hasan Azadi Kenary1,
  1. Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran

Published in Issue 2025-05-26

How to Cite

RN-nearly mixed type A-Q functional equation. (2025). Mathematical Analysis and Its Contemporary Applications, 7(2). https://doi.org/10.30495/maca.2025.2060396.1136

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Abstract

In this paper, using direct and fixed point methods, we prove the generalized Hyers-Ulam stability of the following mixed additive-quadratic functional equation: 2f((x+y)/2)+2f((x−y)/2)=1/2{(3f(x)−f(−x))+(f(y)+f(−y))} in random normed spaces.

Keywords

  • Generalized Hyers-Ulam stability,
  • Random normed space,
  • Fixed point method
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