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On the behavior of mappings which do not satisfy Hyers-Ulam stability
Proceedings of the American Mathematical Society · 1992 · Vol. 114(4) · pp. 989–993
Abstract
We find an example to show when the Hyers-Ulam stability does not occur for approximately linear mappings. We also investigate the behavior of such mappings.
Functional Equations Stability ResultsNonlinear Differential Equations AnalysisAdvanced Banach Space TheoryStability (learning theory)MathematicsMathematical economicsApplied mathematicsComputer science
Citations
407
FWCI
3.31
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References
8
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Cited by
On the Stability of Functional Equations in Banach Spaces
Journal of Mathematical Analysis and Applications · 2000 · 522 citations
References
On the stability of the linear mapping in Banach spaces
Proceedings of the American Mathematical Society · 1978 · 2,782 citations
On the Stability of the Linear Mapping in Banach Spaces
Proceedings of the American Mathematical Society · 1978 · 629 citations
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