Hyers–Ulam Stability of Mixed Quintic and Sextic Equations in Matrix‐Valued Non‐Archimedean Random Normed Spaces via Fixed Point Methods

Key Points

• This research aims to establish the Hyers–Ulam stability for mixed quintic and sextic functional equations in specific probabilistic spaces.
• Developed fixed-point techniques to analyze stability conditions.
• Examined non-Archimedean random normed spaces with matrix structures.
• Generalized existing stability results for new mathematical contexts.
• Provided conditions that allow approximate solutions to ensure exact solutions.
• Established a framework for assessing stability in mixed equation contexts.
• Expanded the application of Hyers–Ulam stability to a broader mathematical landscape.