What question did this study set out to answer?

The central aim is to summarize and evaluate existing results on Ulam stability of functional equations in n-normed and (n, β)-normed spaces.

February 28, 2026Open Access

Survey on Ulam Stability with Respect to n-Norms and (n, β)-Norms

Key Points

The central aim is to summarize and evaluate existing results on Ulam stability of functional equations in n-normed and (n, β)-normed spaces.
Survey of existing literature on Ulam stability in functional equations.
Examination of existing results with an eye on potential traps and generalizations.
Analysis of symmetries within the findings.
Highlights certain traps in the existing literature on Ulam stability.
Identifies straightforward generalizations of previous results.
Draws attention to symmetries in the discussed results.

Abstract

This article is a survey of the results published so far on Ulam stability of functional equations in n-normed spaces and (n, β)-normed spaces. We present and examine them, highlighting some traps they contain and outlining potential straightforward generalizations. We also draw attention to certain symmetries present in the results discussed. In this way, we complement two earlier surveys on Ulam stability in two-normed spaces.

Survey on Ulam Stability with Respect to n-Norms and (n, β)-Norms

Key Points

Abstract

Cite This Study