References
- T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64–66.
- R. Badora, On approximate ring homomorphisms, J. Math. Anal. Appl. 276 (2002), 589–597.
- R. Badora, On approximate derivations, Math. Inequal. Appl. 9 (2006), no. 1, 167–173.
- D. G. Bourgin, Approximately isometric and multiplicative transformations on continuous function rings, Duke Math. J. 16 (1949), 385–397.
- M. Bresar, Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 104 (1988), 1003–1006.
- L. Cadariu and V. Radu, On the stability of the Cauchy functional equation: a fixed point approach, Grazer Math. Ber. 346 (2004), 43–52.
- O. Hatori and J. Wada, Ring derivations on semi-simple commutative Banach algebras, Tokyo J. Math. 15 (1992), 223–229.
- D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941), 222–224.
- B. E. Johnson, Continuity of derivations on commutative Banach algebras, Amer. J. Math. 91 (1969), 1–10.
- B. Margolis and J. B. Diaz, A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Amer. Math. Soc. 126 (1968), 305–309.
- T. Miura, G. Hirasawa and S.-E. Takahasi, A perturbation of ring derivations on Banach algebras, J. Math. Anal. Appl. 319 (2006), 522–530.
- Th. M. Rassias, On the stability of linear mappings in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300.
- P. Semrl, The functional equation of multiplicative derivation is superstable on standard operator algebras, Integr. Equat. Oper. Theory 18 (1994), 118–122.
- I. M. Singer and J. Wermer, Derivations on commutative normed algebras, Math. Ann. 129 (1955), 260–264.
- M. P. Thomas, The image of a derivation is contained in the radical, Ann. of Math. 128 (1988), 435–460.
- S. M. Ulam, A Collection of Mathematical Problems, Interscience Publishers, New York (1968), 63.