Generalized Hyers–Ulam stability for general additive functional equations in quasi-β-normed spaces

On the Stability of the Linear Functional Equation

D. H. Hyers · Proceedings of the National Academy of Sciences · 1941 · 3.9K citations · Full text

Engineering, Linear Functional Equation, System Stability +4

A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

P. Găvruţa · Journal of Mathematical Analysis and Applications · 1994 · 1.7K citations

Engineering, Physics, Additive Mappings +2

On the Stability of the linear Transformation in Banach Spaces.

Tosio Aoki · Journal of the Mathematical Society of Japan · 1950 · 1.5K citations · Full text

Linear Operator, Engineering, Norm (Mathematics) +5

On stability of additive mappings

Zbigniew Gajda · International Journal of Mathematics and Mathematical Sciences · 1991 · 837 citations · Full text

Mathematical Programming, Geometry Of Number, Engineering +9

On the behavior of mappings which do not satisfy Hyers-Ulam stability

Themistocles M. Rassias, Peter Šemrl · Proceedings of the American Mathematical Society · 1992 · 404 citations

Engineering, Hyers-ulam Stability, Such Mappings +5