Open Access
September 2008 On the Stability of Cauchy Additive Mappings
Kil-Woung Jun, Jaiok Roh
Bull. Belg. Math. Soc. Simon Stevin 15(3): 391-402 (September 2008). DOI: 10.36045/bbms/1222783087

Abstract

It is well-known that the concept of Hyers-Ulam-Rassias stability originated by Th. M. Rassias (Proc. Amer. Math. Soc. 72(1978), 297-300) and the concept of Ulam-Gavruta-Rassias stability by J. M. Rassias (J. Funct. Anal. U.S.A. 46(1982), 126-130; Bull. Sc. Math. 108 (1984), 445-446; J. Approx. Th. 57 (1989), 268-273) and P. Gavruta (``An answer to a question of John M. Rassias concerning the stability of Cauchy equation", in: Advances in Equations and Inequalities, in: Hadronic Math. Ser. (1999), 67-71). In this paper we give results concerning these two stabilities.

Citation

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Kil-Woung Jun. Jaiok Roh. "On the Stability of Cauchy Additive Mappings." Bull. Belg. Math. Soc. Simon Stevin 15 (3) 391 - 402, September 2008. https://doi.org/10.36045/bbms/1222783087

Information

Published: September 2008
First available in Project Euclid: 30 September 2008

zbMATH: 1156.39018
MathSciNet: MR2457956
Digital Object Identifier: 10.36045/bbms/1222783087

Keywords: Cauchy additive mapping , Cauchy Jensen functional equation , Hyers-Ulam stability , Jordan-von Neumann type

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 3 • September 2008
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