On the Stability of Cauchy Additive Mappings
Jun, Kil-Woung ; Roh, Jaiok
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 391-402 / Harvested from Project Euclid
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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.
Publié le : 2008-05-15
Classification:  Hyers-Ulam stability,  Cauchy additive mapping,  Jordan-von Neumann type,  Cauchy Jensen functional equation 
@article{1222783087,
     author = {Jun, Kil-Woung and Roh, Jaiok},
     title = {On the Stability of Cauchy Additive Mappings},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 391-402},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1222783087}
}

Jun, Kil-Woung; Roh, Jaiok. On the Stability of Cauchy Additive Mappings. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  391-402. http://gdmltest.u-ga.fr/item/1222783087/