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On the Hyers–Ulam–Rassias Stability of Approximately Additive Mappings

On the Hyers-Ulam-Rassias stability of approximately additive mappings
descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1996 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 204, pages 221-226 (issn: 0022-247X, Copyright policy )
Authors: Soon-Mo Jung;

doi: 10.1006/jmaa.1996.0433

On the Hyers–Ulam–Rassias Stability of Approximately Additive Mappings

Abstract

The article contains another generalization of the classical Hyers solution to the Ulam problem on approximately additive mappings. The author vaguely indicates independent proves of his result in the articles by P. Găvrută with coathors.

Related Organizations
Keywords

Derivatives of functions in infinite-dimensional spaces, Applied Mathematics, Ulam problem, approximately additive mappings, Hyers solution, General theory of linear operators, Analysis

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 84
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
84
Top 10%
Top 10%
Average
hybrid